Q: What are the prime factors of the number 324,402,429?

 A: 3, 13, 83, 593

Why are those the prime factors of the number 324,402,429?

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 324,402,429

324,402,429
Factor Arrows
3108,134,143
Factor Arrows
138,318,011
Factor Arrows
13639,847
Factor Arrows
1349,219
Factor Arrows
83593

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:

3, 13, 83, 593

We can check our work by multiplying all of the prime factors together: 3 x 13 x 13 x 13 x 83 x 593 = 324,402,429

This can also be written as 31 x 133 x 831 x 5931 = 324,402,429

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


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