Q: What are the prime factors of the number 324,543,684?

 A: 2, 3, 113, 137, 1747

Why are those the prime factors of the number 324,543,684?

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 324,543,684

324,543,684
Factor Arrows
2162,271,842
Factor Arrows
281,135,921
Factor Arrows
327,045,307
Factor Arrows
113239,339
Factor Arrows
1371,747

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, 113, 137, 1747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 113 x 137 x 1,747 = 324,543,684

This can also be written as 22 x 31 x 1131 x 1371 x 1,7471 = 324,543,684

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


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