Q: What are the prime factors of the number 77,376,576?

 A: 2, 3, 403003

Why are those the prime factors of the number 77,376,576?

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 77,376,576

77,376,576
Factor Arrows
238,688,288
Factor Arrows
219,344,144
Factor Arrows
29,672,072
Factor Arrows
24,836,036
Factor Arrows
22,418,018
Factor Arrows
21,209,009
Factor Arrows
3403,003

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, 403003

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 3 x 403,003 = 77,376,576

This can also be written as 26 x 31 x 403,0031 = 77,376,576

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 77,376,576:


Ask a Question