Q: What are the prime factors of the number 451,940?

 A: 2, 5, 59, 383

Why are those the prime factors of the number 451,940?

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 451,940

451,940
Factor Arrows
2225,970
Factor Arrows
2112,985
Factor Arrows
522,597
Factor Arrows
59383

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, 59, 383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 59 x 383 = 451,940

This can also be written as 22 x 51 x 591 x 3831 = 451,940

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 451,940:


Ask a Question