Q: What are the prime factors of the number 359,030,304?

 A: 2, 3, 109, 11437

Why are those the prime factors of the number 359,030,304?

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 359,030,304

359,030,304
Factor Arrows
2179,515,152
Factor Arrows
289,757,576
Factor Arrows
244,878,788
Factor Arrows
222,439,394
Factor Arrows
211,219,697
Factor Arrows
33,739,899
Factor Arrows
31,246,633
Factor Arrows
10911,437

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, 109, 11437

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 109 x 11,437 = 359,030,304

This can also be written as 25 x 32 x 1091 x 11,4371 = 359,030,304

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


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