Q: What are the prime factors of the number 374,143,232?

 A: 2, 1461497

Why are those the prime factors of the number 374,143,232?

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 374,143,232

374,143,232
Factor Arrows
2187,071,616
Factor Arrows
293,535,808
Factor Arrows
246,767,904
Factor Arrows
223,383,952
Factor Arrows
211,691,976
Factor Arrows
25,845,988
Factor Arrows
22,922,994
Factor Arrows
21,461,497

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, 1461497

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,461,497 = 374,143,232

This can also be written as 28 x 1,461,4971 = 374,143,232

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


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