Q: What are the prime factors of the number 41,534,234?

 A: 2, 7, 31, 95701

Why are those the prime factors of the number 41,534,234?

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 41,534,234

41,534,234
Factor Arrows
220,767,117
Factor Arrows
72,966,731
Factor Arrows
3195,701

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, 31, 95701

We can check our work by multiplying all of the prime factors together: 2 x 7 x 31 x 95,701 = 41,534,234

This can also be written as 21 x 71 x 311 x 95,7011 = 41,534,234

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


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