Q: What are the prime factors of the number 43,133,425?

 A: 5, 59, 29243

Why are those the prime factors of the number 43,133,425?

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 43,133,425

43,133,425
Factor Arrows
58,626,685
Factor Arrows
51,725,337
Factor Arrows
5929,243

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:

5, 59, 29243

We can check our work by multiplying all of the prime factors together: 5 x 5 x 59 x 29,243 = 43,133,425

This can also be written as 52 x 591 x 29,2431 = 43,133,425

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


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