Q: What are the prime factors of the number 16,878,228?

 A: 2, 3, 23, 61153

Why are those the prime factors of the number 16,878,228?

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 16,878,228

16,878,228
Factor Arrows
28,439,114
Factor Arrows
24,219,557
Factor Arrows
31,406,519
Factor Arrows
2361,153

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, 23, 61153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 61,153 = 16,878,228

This can also be written as 22 x 31 x 231 x 61,1531 = 16,878,228

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 16,878,228:


Ask a Question