Q: What are the prime factors of the number 301,021,228?

 A: 2, 163, 461689

Why are those the prime factors of the number 301,021,228?

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 301,021,228

301,021,228
Factor Arrows
2150,510,614
Factor Arrows
275,255,307
Factor Arrows
163461,689

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, 163, 461689

We can check our work by multiplying all of the prime factors together: 2 x 2 x 163 x 461,689 = 301,021,228

This can also be written as 22 x 1631 x 461,6891 = 301,021,228

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


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