Q: What are the prime factors of the number 41,056,932?

 A: 2, 3, 7, 23, 79, 269

Why are those the prime factors of the number 41,056,932?

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 41,056,932

41,056,932
Factor Arrows
220,528,466
Factor Arrows
210,264,233
Factor Arrows
33,421,411
Factor Arrows
7488,773
Factor Arrows
2321,251
Factor Arrows
79269

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, 3, 7, 23, 79, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 23 x 79 x 269 = 41,056,932

This can also be written as 22 x 31 x 71 x 231 x 791 x 2691 = 41,056,932

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


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