Q: What are the prime factors of the number 971,368?

 A: 2, 121421

Why are those the prime factors of the number 971,368?

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 971,368

971,368
Factor Arrows
2485,684
Factor Arrows
2242,842
Factor Arrows
2121,421

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, 121421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 121,421 = 971,368

This can also be written as 23 x 121,4211 = 971,368

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 971,368:


Ask a Question