Q: What are the prime factors of the number 1,320,560?

 A: 2, 5, 17, 971

Why are those the prime factors of the number 1,320,560?

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 1,320,560

1,320,560
Factor Arrows
2660,280
Factor Arrows
2330,140
Factor Arrows
2165,070
Factor Arrows
282,535
Factor Arrows
516,507
Factor Arrows
17971

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, 971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 971 = 1,320,560

This can also be written as 24 x 51 x 171 x 9711 = 1,320,560

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


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