Q: What are the prime factors of the number 2,046,681?

 A: 3, 7, 13, 17

Why are those the prime factors of the number 2,046,681?

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 2,046,681

2,046,681
Factor Arrows
3682,227
Factor Arrows
3227,409
Factor Arrows
375,803
Factor Arrows
710,829
Factor Arrows
71,547
Factor Arrows
7221
Factor Arrows
1317

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:

3, 7, 13, 17

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 7 x 7 x 13 x 17 = 2,046,681

This can also be written as 33 x 73 x 131 x 171 = 2,046,681

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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