Q: What are the prime factors of the number 1,717,980?

 A: 2, 3, 5, 11, 19, 137

Why are those the prime factors of the number 1,717,980?

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 1,717,980

1,717,980
Factor Arrows
2858,990
Factor Arrows
2429,495
Factor Arrows
3143,165
Factor Arrows
528,633
Factor Arrows
112,603
Factor Arrows
19137

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, 5, 11, 19, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 19 x 137 = 1,717,980

This can also be written as 22 x 31 x 51 x 111 x 191 x 1371 = 1,717,980

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


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