Q: What are the prime factors of the number 304,333,236?

 A: 2, 3, 8453701

Why are those the prime factors of the number 304,333,236?

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 304,333,236

304,333,236
Factor Arrows
2152,166,618
Factor Arrows
276,083,309
Factor Arrows
325,361,103
Factor Arrows
38,453,701

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, 8453701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 8,453,701 = 304,333,236

This can also be written as 22 x 32 x 8,453,7011 = 304,333,236

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


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