Q: What are the prime factors of the number 16,744,770?

 A: 2, 3, 5, 7, 3797

Why are those the prime factors of the number 16,744,770?

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 16,744,770

16,744,770
Factor Arrows
28,372,385
Factor Arrows
32,790,795
Factor Arrows
3930,265
Factor Arrows
5186,053
Factor Arrows
726,579
Factor Arrows
73,797

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, 7, 3797

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 7 x 3,797 = 16,744,770

This can also be written as 21 x 32 x 51 x 72 x 3,7971 = 16,744,770

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


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