Q: What are the prime factors of the number 64,045,392?

 A: 2, 3, 17, 78487

Why are those the prime factors of the number 64,045,392?

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 64,045,392

64,045,392
Factor Arrows
232,022,696
Factor Arrows
216,011,348
Factor Arrows
28,005,674
Factor Arrows
24,002,837
Factor Arrows
31,334,279
Factor Arrows
1778,487

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, 17, 78487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 17 x 78,487 = 64,045,392

This can also be written as 24 x 31 x 171 x 78,4871 = 64,045,392

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


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