Q: What are the prime factors of the number 751,257,270?

 A: 2, 3, 5, 8347303

Why are those the prime factors of the number 751,257,270?

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 751,257,270

751,257,270
Factor Arrows
2375,628,635
Factor Arrows
3125,209,545
Factor Arrows
341,736,515
Factor Arrows
58,347,303

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, 8347303

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 8,347,303 = 751,257,270

This can also be written as 21 x 32 x 51 x 8,347,3031 = 751,257,270

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 751,257,270:


Ask a Question