Q: What are the prime factors of the number 324,400,041?

 A: 3, 7, 43, 17107

Why are those the prime factors of the number 324,400,041?

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 324,400,041

324,400,041
Factor Arrows
3108,133,347
Factor Arrows
336,044,449
Factor Arrows
75,149,207
Factor Arrows
7735,601
Factor Arrows
4317,107

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, 7, 43, 17107

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 43 x 17,107 = 324,400,041

This can also be written as 32 x 72 x 431 x 17,1071 = 324,400,041

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


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