Q: What are the prime factors of the number 770,875,544?

 A: 2, 23, 61, 173, 397

Why are those the prime factors of the number 770,875,544?

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 770,875,544

770,875,544
Factor Arrows
2385,437,772
Factor Arrows
2192,718,886
Factor Arrows
296,359,443
Factor Arrows
234,189,541
Factor Arrows
6168,681
Factor Arrows
173397

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, 23, 61, 173, 397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 61 x 173 x 397 = 770,875,544

This can also be written as 23 x 231 x 611 x 1731 x 3971 = 770,875,544

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 770,875,544:


Ask a Question