Q: What are the prime factors of the number 3,251,222?

 A: 2, 13, 9619

Why are those the prime factors of the number 3,251,222?

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 3,251,222

3,251,222
Factor Arrows
21,625,611
Factor Arrows
13125,047
Factor Arrows
139,619

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, 9619

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 9,619 = 3,251,222

This can also be written as 21 x 132 x 9,6191 = 3,251,222

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


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