Q: What are the prime factors of the number 48,484,215?

 A: 3, 5, 13, 67, 1237

Why are those the prime factors of the number 48,484,215?

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 48,484,215

48,484,215
Factor Arrows
316,161,405
Factor Arrows
35,387,135
Factor Arrows
51,077,427
Factor Arrows
1382,879
Factor Arrows
671,237

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:

3, 5, 13, 67, 1237

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 13 x 67 x 1,237 = 48,484,215

This can also be written as 32 x 51 x 131 x 671 x 1,2371 = 48,484,215

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 48,484,215:


Ask a Question