Q: What are the prime factors of the number 302,003,110?

 A: 2, 5, 23, 1313057

Why are those the prime factors of the number 302,003,110?

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 302,003,110

302,003,110
Factor Arrows
2151,001,555
Factor Arrows
530,200,311
Factor Arrows
231,313,057

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, 5, 23, 1313057

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 1,313,057 = 302,003,110

This can also be written as 21 x 51 x 231 x 1,313,0571 = 302,003,110

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


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