Q: What are the prime factors of the number 372,422,648?

 A: 2, 13, 19, 188473

Why are those the prime factors of the number 372,422,648?

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 372,422,648

372,422,648
Factor Arrows
2186,211,324
Factor Arrows
293,105,662
Factor Arrows
246,552,831
Factor Arrows
133,580,987
Factor Arrows
19188,473

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, 13, 19, 188473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 19 x 188,473 = 372,422,648

This can also be written as 23 x 131 x 191 x 188,4731 = 372,422,648

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


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