Q: What are the prime factors of the number 372,536,420?

 A: 2, 5, 19, 443, 2213

Why are those the prime factors of the number 372,536,420?

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 372,536,420

372,536,420
Factor Arrows
2186,268,210
Factor Arrows
293,134,105
Factor Arrows
518,626,821
Factor Arrows
19980,359
Factor Arrows
4432,213

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, 5, 19, 443, 2213

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 443 x 2,213 = 372,536,420

This can also be written as 22 x 51 x 191 x 4431 x 2,2131 = 372,536,420

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


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