Q: What are the prime factors of the number 1,708,196?

 A: 2, 7, 61007

Why are those the prime factors of the number 1,708,196?

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 1,708,196

1,708,196
Factor Arrows
2854,098
Factor Arrows
2427,049
Factor Arrows
761,007

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, 7, 61007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 61,007 = 1,708,196

This can also be written as 22 x 71 x 61,0071 = 1,708,196

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


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