Q: What are the prime factors of the number 1,062,618?

 A: 2, 3, 29, 31, 197

Why are those the prime factors of the number 1,062,618?

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 1,062,618

1,062,618
Factor Arrows
2531,309
Factor Arrows
3177,103
Factor Arrows
296,107
Factor Arrows
31197

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, 29, 31, 197

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 31 x 197 = 1,062,618

This can also be written as 21 x 31 x 291 x 311 x 1971 = 1,062,618

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


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