Q: What are the prime factors of the number 1,660,540?

 A: 2, 5, 7, 29, 409

Why are those the prime factors of the number 1,660,540?

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 1,660,540

1,660,540
Factor Arrows
2830,270
Factor Arrows
2415,135
Factor Arrows
583,027
Factor Arrows
711,861
Factor Arrows
29409

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, 7, 29, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 29 x 409 = 1,660,540

This can also be written as 22 x 51 x 71 x 291 x 4091 = 1,660,540

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


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