Q: What are the prime factors of the number 782,464?

 A: 2, 6113

Why are those the prime factors of the number 782,464?

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 782,464

782,464
Factor Arrows
2391,232
Factor Arrows
2195,616
Factor Arrows
297,808
Factor Arrows
248,904
Factor Arrows
224,452
Factor Arrows
212,226
Factor Arrows
26,113

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, 6113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 6,113 = 782,464

This can also be written as 27 x 6,1131 = 782,464

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 782,464:


Ask a Question