Q: What are the prime factors of the number 1,104,528?

 A: 2, 3, 23011

Why are those the prime factors of the number 1,104,528?

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 1,104,528

1,104,528
Factor Arrows
2552,264
Factor Arrows
2276,132
Factor Arrows
2138,066
Factor Arrows
269,033
Factor Arrows
323,011

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, 23011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 23,011 = 1,104,528

This can also be written as 24 x 31 x 23,0111 = 1,104,528

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


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