Q: What are the prime factors of the number 973,470?

 A: 2, 3, 5, 37, 877

Why are those the prime factors of the number 973,470?

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 973,470

973,470
Factor Arrows
2486,735
Factor Arrows
3162,245
Factor Arrows
532,449
Factor Arrows
37877

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, 37, 877

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 37 x 877 = 973,470

This can also be written as 21 x 31 x 51 x 371 x 8771 = 973,470

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 973,470:


Ask a Question