# 100 Floors: Level 97

Level 97 in 100 Floors is one of the cleaning and most beautiful floors of this new stage, perhaps because its silver and red. In the middle of the door you will see thin lines and circles. Strangely at the bottom of the door are numbers and at the top left is even more numbers. You will also see four lights at the top and there is a balloon that is floating about. Get the balloon to the bottom then pop it with your knife to reveal a paper, pick it up.

**The Solution**

To beat Level 97 in 100 Floors simply head on over to the four board cards at the bottom then tap them each from left to right and fill them with these numbers

- 3
- 5
- 7
- 7

The door in your level 97 of 100 Floors should open allowing you to advance into Level 98 of your Main Tower 100 Floors game.

Why is this the answer?

whats the explanation for this?

2,3, and 5 are the dividends of 30 so that 2x3x5 is equal to 30

735 can be divided by 3 = 245, 5 = 49 and you can guess now 7 and 7

But what does it have to do with the circles and lines on the door?

That’s a factoral tree

Factoring to prime numbers. 30 factors to 2, 3, and 5 (2x3x5=30). When you pop the balloon you get 735 given to factor. 3x5x7x7=735

The answers bellow overly complicate things. When you pop the balloon to get the paper with the number 735 you can then place that paper above the door. This now shows "(735, ).

So if you look at the other number up there, (30, 235) you can see that 2 x 3 x 5 = 30.

With that clue we now know that we have to find an equation that will complete the above (735, ).

The lines tell you how the equation has to be written too. Here it gets a bit harder to explain so bear with me.

w(x, y, z) = 735. So figure out x times y times z (5 x 7 x 7 = 245), then multiply that by whatever number is need to get to 735 which is 3.

Hope that makes some degree of sense.

The answers bellow overly complicate things. When you pop the balloon to get the paper with the number 735 you can then place that paper above the door. This now shows "(735, ).

So if you look at the other number up there, (30, 235) you can see that 2 x 3 x 5 = 30.

With that clue we now know that we have to find an equation that will complete the above (735, ).

The lines tell you how the equation has to be written too. Here it gets a bit harder to explain so bear with me.

w(x, y, z) = 735. So figure out x times y times z (5 x 7 x 7 = 245), then multiply that by whatever number is need to get to 735 which is 3.

Hope that makes some degree of sense.

Please explain better. What do you mean w(x,y,z)=735? And why are looking for three number that multiply to 245? You say afterwards you get 3 by dividing 735/245, but how did yiu get 245? I do not understand. Does the graph tell you anything?

It's the order of operations. BEDMAS. Brackets, Exponent, Division/Multiplication, Addition/Subtraction.

So you have to resolve what's in the brackets first which is "x times y times z", or in this case 5x7x7. That equals 245. So now instead of w(x,y,z)=735 we have w(245) or "w times 245". In this case w needs to be 3 so that we now have 3×245 which equals the 735 that we're looking for.

The chart is what tells you what the equation should look like. We have the 3 points that are connect on the right side (the x,y,z) and then we have the one number before it by itself which is the "w" in this equation.

Basically you have to find the right numbers that complete the equation so that it equals 735, the "w(x,y,z)" is just the for shape the equation has to take.

Sorry for being totally thick, but I'm not very good at maths. How did you get 245? Did you just have to guess a bunch of numbers before you got the answer? How did you know that x=5, y=7 and z=7?

There's a way to find it out more directly but it's been many years since high school math so I had to do it the hard way. I took 735 (which is given to us) and found out what it can be divided by. Turns out you can divide 735 by 3 and get 245 (it was the first number that worked so I went with it).

Then once I had 245 it was much the same process again. What can you divide 245 by? 5 or 7. If we take 7 (I tried 5 first, which gives us the same numbers but in the wrong order and the puzzle didn't work even though the math was technically right) we see that 245 divided by 7 is 35.

So basically what we've done now is find out that "something x something (which together equal 35) x 7 is 245. So we need to find the somethings. 5 x 7 gives us 35, so now we have our 5 x 7 x 7.

Sorry, not the easiest to explain when using a keyboard. If I could draw it out and use the proper symbols this would likely be a tad less confusing. Also if I were using the proper formula and process this would be easier too. :p

Hope that made some semblance of sense.

Prime factors is the answer, 1x2x3x5 for 30, 1x3x5x7x7 for 735

x(xyz) is the same as just wxyz… which is also the same as xwyz and zyxw and 21 other permutations. if its all multiplication solving for inside the brackets before applying the w is the same as straight multiplication. if it was just a case of finding w(xyz) there would be 24 possibilities, as the order of the factors wouldn't matter

x(xyz) is the same as just wxyz… which is also the same as xwyz and zyxw and 21 other permutations. if its all multiplication solving for inside the brackets before applying the w is the same as straight multiplication. if it was just a case of finding w(xyz) there would be 24 possibilities, as the order of the factors wouldn't matter

w(x,y,z) means w is a function of x,y and z not w times (x,y,z). So basically everything above doesnt make sense. The answer is simply the prime factors of 735 in increasing order. The so-called picture of the factorial tree is NOT a factorial tree. It can't have 3 branches at one point, so the picture is only symbolic. Here is a picture of a factorial tree:

http://images.tutorvista.com/cms/images/38/prime-factorization-tree.jpg

And I wonder why did the post by Whistler Aven get so many likes. Those people must have failed their high school maths.

Or it's just been a long time since high school for many and factorial trees, for some unfathomable reason, just don't come up in their day-to-day lives.

Then why doesn’t it accept 3775 or 3757 as answer?

I gues like Vee I’m puzzled by the specific order of the numbers in the solution. If I take w(x,y,z) as suggested, 7357 is a valid answer: brackets first 3×5=15 x 7=105. Then 7x(105)=735. Why 3 is the first number must have to to with the graph but I don’t get it

You just need to break down 735 to its prime factors and order them from least to greatest. The example pair is (30, 235). The prime factors of 30 are 2, 3, and 5. The diagram on the door shows the factor tree. If you can't remember this from math class, check it out here: http://www.khanacademy.org/math/arithmetic/factors-multiples/v/prime-factorization (You see the tree around 2:10).

Aaaaah! Thanks Darren. I have no recollection of this part of my school years, but this explanation finally ties all the loose ends for me!

They are all Prime Factors….. 30 Prime factors 1, 2, 3, 5. 735 1, 3, 5, 7, 7 Drop the 1.

what a prime numbers

i have the easy conclusion lol in the wall the number is (30,235) and the papel is (735, ) now heres the trick pick the first and the last number (3x,xx5) and (7xx,x7) the last 7 is in the levels # 97 this is how i pass the level

Mr. Aven (below) is also making it more difficult than it is.

1) Pop the balloon with the knife.

2) Get the paper that fell out of the balloon.

3) Put the paper above the door.

4) Observe (30, 235).

5) Cleverly notice that 30 = 2*3*5.

6) Observe (735, <blank>).

7) Deduce that 735 = 3*5*7*7.

8) Use 3577 to solve the puzzle.

More information:

2*3*5 and 3*5*7*7 are called "Prime Factorizations" of 30 and 735. You can google it to learn more. But explained very simply:

1) 2,3 and 5 is the ONLY set of prime numbers that you can multiply together to get 30.

2) 3,5,7 and 7 is the ONLY set of prime numbers that you can multiply together to get 735.

I think the lines are simply symbolic of factoring. (breaking the number down to it's smaller parts) The pattern indicated by the lines doesn't match the actual factoring we did to get the answer, so it's probably not meant to be an explicit guide, just symbolic.

…huh?

…huh?

It seems a little strange that the game doesn't accept different permutations of the 4 numbers, like 7357. But it's common practice to list the lowest numbers of a prime factorization first, and the hint of 235 is arranged this way.

……

Mr. Aven (below) is also making it more difficult than it is.

1) Pop the balloon with the knife.

2) Get the paper that fell out of the balloon.

3) Put the paper above the door.

4) Observe (30, 235).

5) Cleverly notice that 30 = 2*3*5.

6) Observe (735, <blank>).

7) Deduce that 735 = 3*5*7*7.

8) Use 3577 to solve the puzzle.

More information:

2*3*5 and 3*5*7*7 are called "Prime Factorizations" of 30 and 735. You can google it to learn more. But explained very simply:

1) 2,3 and 5 is the ONLY set of prime numbers that you can multiply together to get 30.

2) 3,5,7 and 7 is the ONLY set of prime numbers that you can multiply together to get 735.

John has the best, easiest and smartest answer!!

Holy cow this solution is the last 4 letters of my phone number