Q: What are the prime factors of the number 662,628?

 A: 2, 3, 55219

Why are those the prime factors of the number 662,628?

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 662,628

662,628
Factor Arrows
2331,314
Factor Arrows
2165,657
Factor Arrows
355,219

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, 55219

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 55,219 = 662,628

This can also be written as 22 x 31 x 55,2191 = 662,628

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


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