Q: What are the prime factors of the number 1,336,146?

 A: 2, 3, 7, 29, 1097

Why are those the prime factors of the number 1,336,146?

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 1,336,146

1,336,146
Factor Arrows
2668,073
Factor Arrows
3222,691
Factor Arrows
731,813
Factor Arrows
291,097

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, 7, 29, 1097

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 29 x 1,097 = 1,336,146

This can also be written as 21 x 31 x 71 x 291 x 1,0971 = 1,336,146

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 1,336,146:


Ask a Question