Q: What are the prime factors of the number 1,320,180?

 A: 2, 3, 5, 22003

Why are those the prime factors of the number 1,320,180?

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 1,320,180

1,320,180
Factor Arrows
2660,090
Factor Arrows
2330,045
Factor Arrows
3110,015
Factor Arrows
522,003

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, 5, 22003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 22,003 = 1,320,180

This can also be written as 22 x 31 x 51 x 22,0031 = 1,320,180

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


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