Q: What are the prime factors of the number 43,132,604?

 A: 2, 17, 89, 7127

Why are those the prime factors of the number 43,132,604?

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 43,132,604

43,132,604
Factor Arrows
221,566,302
Factor Arrows
210,783,151
Factor Arrows
17634,303
Factor Arrows
897,127

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, 17, 89, 7127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 89 x 7,127 = 43,132,604

This can also be written as 22 x 171 x 891 x 7,1271 = 43,132,604

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


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