Q: What are the prime factors of the number 74,456?

 A: 2, 41, 227

Why are those the prime factors of the number 74,456?

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 74,456

74,456
Factor Arrows
237,228
Factor Arrows
218,614
Factor Arrows
29,307
Factor Arrows
41227

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, 41, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 227 = 74,456

This can also be written as 23 x 411 x 2271 = 74,456

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


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