Q: What are the prime factors of the number 763,224?

 A: 2, 3, 7, 11, 59

Why are those the prime factors of the number 763,224?

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 763,224

763,224
Factor Arrows
2381,612
Factor Arrows
2190,806
Factor Arrows
295,403
Factor Arrows
331,801
Factor Arrows
74,543
Factor Arrows
7649
Factor Arrows
1159

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, 7, 11, 59

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 7 x 11 x 59 = 763,224

This can also be written as 23 x 31 x 72 x 111 x 591 = 763,224

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 763,224:


Ask a Question