Q: What are the prime factors of the number 27,378,630?

 A: 2, 3, 5, 61, 4987

Why are those the prime factors of the number 27,378,630?

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 27,378,630

27,378,630
Factor Arrows
213,689,315
Factor Arrows
34,563,105
Factor Arrows
31,521,035
Factor Arrows
5304,207
Factor Arrows
614,987

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, 5, 61, 4987

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 61 x 4,987 = 27,378,630

This can also be written as 21 x 32 x 51 x 611 x 4,9871 = 27,378,630

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 27,378,630:


Ask a Question