Question

how many ways can you stack 77 books into equal piles?

Answer 1

the prime factors of 77 are 11 and 7. so you can either have 7 piles of 11 books or 11 piles of 7 books

Answer 2

5929

Answer 3

Thank you:)

Answer 4

also in this case 1 is a factor...so 77 piles of 1 book

Answer 5

but someone told me 5929?

Answer 6

where do u get that from?

Answer 7

5259 is what you get from the first google result, but it doesn't make sense

Answer 8

how many factors does 77 have? 1, 7, and 11. therefore there are 3 ways

Answer 9

it doesnt..so thats why i was asking.. Thank u again

Answer 10

wait where did u get the 11? from

Answer 11

when u multiply 7 and 11 it equals 77..? is that y

Answer 12

yes

Answer 13

7 piles of 11 books per pile
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Each stack of 11 books can be arranged in 11! ways and there are 7 stacks.
That gives 7 (11!) ways to arrange the 77 books in seven stacks of 11 books each.

11 piles of 7 books
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Each stack of 7 books can be arranged in 7! ways and there are 11 stacks.
That gives 11(7!) ways to arrange the 77 book in eleven stacks of 7 books each.

So, the answer to the original question is [7* (11!) + 11* (7!)] ways. The total is 279, 473, 040 ways.