Q: What are the prime factors of the number 64,617,592?

 A: 2, 13, 191, 3253

Why are those the prime factors of the number 64,617,592?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 64,617,592

64,617,592
Factor Arrows
232,308,796
Factor Arrows
216,154,398
Factor Arrows
28,077,199
Factor Arrows
13621,323
Factor Arrows
1913,253

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 13, 191, 3253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 191 x 3,253 = 64,617,592

This can also be written as 23 x 131 x 1911 x 3,2531 = 64,617,592

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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