Q: What are the prime factors of the number 371,042,356?

 A: 2, 29, 43, 73, 1019

Why are those the prime factors of the number 371,042,356?

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 371,042,356

371,042,356
Factor Arrows
2185,521,178
Factor Arrows
292,760,589
Factor Arrows
293,198,641
Factor Arrows
4374,387
Factor Arrows
731,019

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, 29, 43, 73, 1019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 29 x 43 x 73 x 1,019 = 371,042,356

This can also be written as 22 x 291 x 431 x 731 x 1,0191 = 371,042,356

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


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