Q: What are the prime factors of the number 64,845,924?

 A: 2, 3, 11, 13, 23, 31, 53

Why are those the prime factors of the number 64,845,924?

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 64,845,924

64,845,924
Factor Arrows
232,422,962
Factor Arrows
216,211,481
Factor Arrows
35,403,827
Factor Arrows
11491,257
Factor Arrows
1337,789
Factor Arrows
231,643
Factor Arrows
3153

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, 3, 11, 13, 23, 31, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 13 x 23 x 31 x 53 = 64,845,924

This can also be written as 22 x 31 x 111 x 131 x 231 x 311 x 531 = 64,845,924

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


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