Q: What are the prime factors of the number 41,156,704?

 A: 2, 1286147

Why are those the prime factors of the number 41,156,704?

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 41,156,704

41,156,704
Factor Arrows
220,578,352
Factor Arrows
210,289,176
Factor Arrows
25,144,588
Factor Arrows
22,572,294
Factor Arrows
21,286,147

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, 1286147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,286,147 = 41,156,704

This can also be written as 25 x 1,286,1471 = 41,156,704

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


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