Q: What are the prime factors of the number 300,014?

 A: 2, 11, 13, 1049

Why are those the prime factors of the number 300,014?

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 300,014

300,014
Factor Arrows
2150,007
Factor Arrows
1113,637
Factor Arrows
131,049

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, 11, 13, 1049

We can check our work by multiplying all of the prime factors together: 2 x 11 x 13 x 1,049 = 300,014

This can also be written as 21 x 111 x 131 x 1,0491 = 300,014

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


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