Q: What are the prime factors of the number 16,716,780?

 A: 2, 3, 5, 17, 607

Why are those the prime factors of the number 16,716,780?

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 16,716,780

16,716,780
Factor Arrows
28,358,390
Factor Arrows
24,179,195
Factor Arrows
31,393,065
Factor Arrows
3464,355
Factor Arrows
3154,785
Factor Arrows
351,595
Factor Arrows
510,319
Factor Arrows
17607

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, 17, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 607 = 16,716,780

This can also be written as 22 x 34 x 51 x 171 x 6071 = 16,716,780

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


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