Q: What are the prime factors of the number 532,683,324?

 A: 2, 3, 1741, 2833

Why are those the prime factors of the number 532,683,324?

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 532,683,324

532,683,324
Factor Arrows
2266,341,662
Factor Arrows
2133,170,831
Factor Arrows
344,390,277
Factor Arrows
314,796,759
Factor Arrows
34,932,253
Factor Arrows
1,7412,833

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, 1741, 2833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 1,741 x 2,833 = 532,683,324

This can also be written as 22 x 33 x 1,7411 x 2,8331 = 532,683,324

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


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