Q: What are the prime factors of the number 6,118,496?

 A: 2, 71, 2693

Why are those the prime factors of the number 6,118,496?

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 6,118,496

6,118,496
Factor Arrows
23,059,248
Factor Arrows
21,529,624
Factor Arrows
2764,812
Factor Arrows
2382,406
Factor Arrows
2191,203
Factor Arrows
712,693

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, 71, 2693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 71 x 2,693 = 6,118,496

This can also be written as 25 x 711 x 2,6931 = 6,118,496

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 6,118,496:


Ask a Question