Q: What are the prime factors of the number 64,446,012?

 A: 2, 3, 61, 29347

Why are those the prime factors of the number 64,446,012?

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 64,446,012

64,446,012
Factor Arrows
232,223,006
Factor Arrows
216,111,503
Factor Arrows
35,370,501
Factor Arrows
31,790,167
Factor Arrows
6129,347

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, 61, 29347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 61 x 29,347 = 64,446,012

This can also be written as 22 x 32 x 611 x 29,3471 = 64,446,012

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


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