Q: What are the prime factors of the number 372,247,770?

 A: 2, 3, 5, 29, 313, 1367

Why are those the prime factors of the number 372,247,770?

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 372,247,770

372,247,770
Factor Arrows
2186,123,885
Factor Arrows
362,041,295
Factor Arrows
512,408,259
Factor Arrows
29427,871
Factor Arrows
3131,367

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, 5, 29, 313, 1367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 29 x 313 x 1,367 = 372,247,770

This can also be written as 21 x 31 x 51 x 291 x 3131 x 1,3671 = 372,247,770

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


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