Q: What are the prime factors of the number 651,508?

 A: 2, 11, 13, 17, 67

Why are those the prime factors of the number 651,508?

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 651,508

651,508
Factor Arrows
2325,754
Factor Arrows
2162,877
Factor Arrows
1114,807
Factor Arrows
131,139
Factor Arrows
1767

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, 11, 13, 17, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 17 x 67 = 651,508

This can also be written as 22 x 111 x 131 x 171 x 671 = 651,508

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 651,508:


Ask a Question