Q: What are the prime factors of the number 971,008?

 A: 2, 3793

Why are those the prime factors of the number 971,008?

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 971,008

971,008
Factor Arrows
2485,504
Factor Arrows
2242,752
Factor Arrows
2121,376
Factor Arrows
260,688
Factor Arrows
230,344
Factor Arrows
215,172
Factor Arrows
27,586
Factor Arrows
23,793

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, 3793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3,793 = 971,008

This can also be written as 28 x 3,7931 = 971,008

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 971,008:


Ask a Question