Q: What are the prime factors of the number 27,114,300?

 A: 2, 3, 5, 47, 641

Why are those the prime factors of the number 27,114,300?

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 27,114,300

27,114,300
Factor Arrows
213,557,150
Factor Arrows
26,778,575
Factor Arrows
32,259,525
Factor Arrows
3753,175
Factor Arrows
5150,635
Factor Arrows
530,127
Factor Arrows
47641

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, 47, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 47 x 641 = 27,114,300

This can also be written as 22 x 32 x 52 x 471 x 6411 = 27,114,300

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 27,114,300:


Ask a Question