Q: What are the prime factors of the number 303,060?

 A: 2, 3, 5, 5051

Why are those the prime factors of the number 303,060?

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 303,060

303,060
Factor Arrows
2151,530
Factor Arrows
275,765
Factor Arrows
325,255
Factor Arrows
55,051

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, 5051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5,051 = 303,060

This can also be written as 22 x 31 x 51 x 5,0511 = 303,060

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


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