Q: What are the prime factors of the number 177,756?

 A: 2, 3, 14813

Why are those the prime factors of the number 177,756?

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 177,756

177,756
Factor Arrows
288,878
Factor Arrows
244,439
Factor Arrows
314,813

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, 14813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 14,813 = 177,756

This can also be written as 22 x 31 x 14,8131 = 177,756

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 177,756:


Ask a Question