Q: What are the prime factors of the number 1,507,055?

 A: 5, 11, 47, 53

Why are those the prime factors of the number 1,507,055?

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 1,507,055

1,507,055
Factor Arrows
5301,411
Factor Arrows
1127,401
Factor Arrows
112,491
Factor Arrows
4753

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:

5, 11, 47, 53

We can check our work by multiplying all of the prime factors together: 5 x 11 x 11 x 47 x 53 = 1,507,055

This can also be written as 51 x 112 x 471 x 531 = 1,507,055

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


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