Q: What are the prime factors of the number 7,701,216?

 A: 2, 3, 80221

Why are those the prime factors of the number 7,701,216?

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 7,701,216

7,701,216
Factor Arrows
23,850,608
Factor Arrows
21,925,304
Factor Arrows
2962,652
Factor Arrows
2481,326
Factor Arrows
2240,663
Factor Arrows
380,221

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, 80221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 80,221 = 7,701,216

This can also be written as 25 x 31 x 80,2211 = 7,701,216

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 7,701,216:


Ask a Question