Q: What are the prime factors of the number 2,615,052?

 A: 2, 3, 11, 1801

Why are those the prime factors of the number 2,615,052?

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 2,615,052

2,615,052
Factor Arrows
21,307,526
Factor Arrows
2653,763
Factor Arrows
3217,921
Factor Arrows
1119,811
Factor Arrows
111,801

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, 1801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 1,801 = 2,615,052

This can also be written as 22 x 31 x 112 x 1,8011 = 2,615,052

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


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