Q: What are the prime factors of the number 323,240,050?

 A: 2, 5, 7, 923543

Why are those the prime factors of the number 323,240,050?

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 323,240,050

323,240,050
Factor Arrows
2161,620,025
Factor Arrows
532,324,005
Factor Arrows
56,464,801
Factor Arrows
7923,543

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, 5, 7, 923543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 923,543 = 323,240,050

This can also be written as 21 x 52 x 71 x 923,5431 = 323,240,050

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


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