Q: What are the prime factors of the number 763,862,760?

 A: 2, 3, 5, 2121841

Why are those the prime factors of the number 763,862,760?

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 763,862,760

763,862,760
Factor Arrows
2381,931,380
Factor Arrows
2190,965,690
Factor Arrows
295,482,845
Factor Arrows
331,827,615
Factor Arrows
310,609,205
Factor Arrows
52,121,841

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, 2121841

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 2,121,841 = 763,862,760

This can also be written as 23 x 32 x 51 x 2,121,8411 = 763,862,760

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 763,862,760:


Ask a Question