Q: What are the prime factors of the number 376,440,642?

 A: 2, 3, 6971123

Why are those the prime factors of the number 376,440,642?

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 376,440,642

376,440,642
Factor Arrows
2188,220,321
Factor Arrows
362,740,107
Factor Arrows
320,913,369
Factor Arrows
36,971,123

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, 6971123

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 6,971,123 = 376,440,642

This can also be written as 21 x 33 x 6,971,1231 = 376,440,642

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


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