Q: What are the prime factors of the number 101,584?

 A: 2, 7, 907

Why are those the prime factors of the number 101,584?

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 101,584

101,584
Factor Arrows
250,792
Factor Arrows
225,396
Factor Arrows
212,698
Factor Arrows
26,349
Factor Arrows
7907

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, 7, 907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 907 = 101,584

This can also be written as 24 x 71 x 9071 = 101,584

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 101,584:


Ask a Question