Q: What are the prime factors of the number 364,612,521?

 A: 3, 7, 13, 109, 12253

Why are those the prime factors of the number 364,612,521?

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 364,612,521

364,612,521
Factor Arrows
3121,537,507
Factor Arrows
717,362,501
Factor Arrows
131,335,577
Factor Arrows
10912,253

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:

3, 7, 13, 109, 12253

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 109 x 12,253 = 364,612,521

This can also be written as 31 x 71 x 131 x 1091 x 12,2531 = 364,612,521

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


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