Q: What are the prime factors of the number 307,253,830?

 A: 2, 5, 13, 281, 647

Why are those the prime factors of the number 307,253,830?

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 307,253,830

307,253,830
Factor Arrows
2153,626,915
Factor Arrows
530,725,383
Factor Arrows
132,363,491
Factor Arrows
13181,807
Factor Arrows
281647

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, 5, 13, 281, 647

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 13 x 281 x 647 = 307,253,830

This can also be written as 21 x 51 x 132 x 2811 x 6471 = 307,253,830

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 307,253,830:


Ask a Question