Q: What are the prime factors of the number 48,846?

 A: 2, 3, 7, 1163

Why are those the prime factors of the number 48,846?

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 48,846

48,846
Factor Arrows
224,423
Factor Arrows
38,141
Factor Arrows
71,163

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, 7, 1163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 1,163 = 48,846

This can also be written as 21 x 31 x 71 x 1,1631 = 48,846

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 48,846:


Ask a Question