Q: What are the prime factors of the number 310,332,225?

 A: 3, 5, 7, 19, 53, 587

Why are those the prime factors of the number 310,332,225?

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 310,332,225

310,332,225
Factor Arrows
3103,444,075
Factor Arrows
520,688,815
Factor Arrows
54,137,763
Factor Arrows
7591,109
Factor Arrows
1931,111
Factor Arrows
53587

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:

3, 5, 7, 19, 53, 587

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 19 x 53 x 587 = 310,332,225

This can also be written as 31 x 52 x 71 x 191 x 531 x 5871 = 310,332,225

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


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