Q: What are the prime factors of the number 301,245,420?

 A: 2, 3, 5, 7, 89, 8059

Why are those the prime factors of the number 301,245,420?

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 301,245,420

301,245,420
Factor Arrows
2150,622,710
Factor Arrows
275,311,355
Factor Arrows
325,103,785
Factor Arrows
55,020,757
Factor Arrows
7717,251
Factor Arrows
898,059

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, 7, 89, 8059

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 89 x 8,059 = 301,245,420

This can also be written as 22 x 31 x 51 x 71 x 891 x 8,0591 = 301,245,420

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


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