Q: What are the prime factors of the number 47,655,612?

 A: 2, 3, 41, 83, 389

Why are those the prime factors of the number 47,655,612?

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 47,655,612

47,655,612
Factor Arrows
223,827,806
Factor Arrows
211,913,903
Factor Arrows
33,971,301
Factor Arrows
31,323,767
Factor Arrows
4132,287
Factor Arrows
83389

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, 41, 83, 389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 41 x 83 x 389 = 47,655,612

This can also be written as 22 x 32 x 411 x 831 x 3891 = 47,655,612

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 47,655,612:


Ask a Question