Q: What are the prime factors of the number 1,572,516?

 A: 2, 3, 11, 19

Why are those the prime factors of the number 1,572,516?

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 1,572,516

1,572,516
Factor Arrows
2786,258
Factor Arrows
2393,129
Factor Arrows
3131,043
Factor Arrows
343,681
Factor Arrows
113,971
Factor Arrows
11361
Factor Arrows
1919

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, 11, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 19 x 19 = 1,572,516

This can also be written as 22 x 32 x 112 x 192 = 1,572,516

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


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