Q: What are the prime factors of the number 670,202?

 A: 2, 13, 149, 173

Why are those the prime factors of the number 670,202?

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 670,202

670,202
Factor Arrows
2335,101
Factor Arrows
1325,777
Factor Arrows
149173

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, 13, 149, 173

We can check our work by multiplying all of the prime factors together: 2 x 13 x 149 x 173 = 670,202

This can also be written as 21 x 131 x 1491 x 1731 = 670,202

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


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