Q: What are the prime factors of the number 16,656,528?

 A: 2, 3, 7, 89, 557

Why are those the prime factors of the number 16,656,528?

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 16,656,528

16,656,528
Factor Arrows
28,328,264
Factor Arrows
24,164,132
Factor Arrows
22,082,066
Factor Arrows
21,041,033
Factor Arrows
3347,011
Factor Arrows
749,573
Factor Arrows
89557

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, 7, 89, 557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 89 x 557 = 16,656,528

This can also be written as 24 x 31 x 71 x 891 x 5571 = 16,656,528

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,656,528:


Ask a Question