Q: What are the prime factors of the number 621,860?

 A: 2, 5, 17, 31, 59

Why are those the prime factors of the number 621,860?

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 621,860

621,860
Factor Arrows
2310,930
Factor Arrows
2155,465
Factor Arrows
531,093
Factor Arrows
171,829
Factor Arrows
3159

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, 5, 17, 31, 59

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 31 x 59 = 621,860

This can also be written as 22 x 51 x 171 x 311 x 591 = 621,860

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


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