Q: What are the prime factors of the number 1,343,706?

 A: 2, 3, 7, 13, 23, 107

Why are those the prime factors of the number 1,343,706?

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 1,343,706

1,343,706
Factor Arrows
2671,853
Factor Arrows
3223,951
Factor Arrows
731,993
Factor Arrows
132,461
Factor Arrows
23107

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, 13, 23, 107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 13 x 23 x 107 = 1,343,706

This can also be written as 21 x 31 x 71 x 131 x 231 x 1071 = 1,343,706

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 1,343,706:


Ask a Question