Q: What are the prime factors of the number 328,328,344?

 A: 2, 17, 2414179

Why are those the prime factors of the number 328,328,344?

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 328,328,344

328,328,344
Factor Arrows
2164,164,172
Factor Arrows
282,082,086
Factor Arrows
241,041,043
Factor Arrows
172,414,179

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, 17, 2414179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 2,414,179 = 328,328,344

This can also be written as 23 x 171 x 2,414,1791 = 328,328,344

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


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