Q: What are the prime factors of the number 41,230,532?

 A: 2, 7, 19, 4079

Why are those the prime factors of the number 41,230,532?

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 41,230,532

41,230,532
Factor Arrows
220,615,266
Factor Arrows
210,307,633
Factor Arrows
71,472,519
Factor Arrows
1977,501
Factor Arrows
194,079

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, 7, 19, 4079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 19 x 4,079 = 41,230,532

This can also be written as 22 x 71 x 192 x 4,0791 = 41,230,532

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


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