Q: What are the prime factors of the number 300,450?

 A: 2, 3, 5, 2003

Why are those the prime factors of the number 300,450?

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 300,450

300,450
Factor Arrows
2150,225
Factor Arrows
350,075
Factor Arrows
510,015
Factor Arrows
52,003

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, 2003

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 2,003 = 300,450

This can also be written as 21 x 31 x 52 x 2,0031 = 300,450

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


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