Q: What are the prime factors of the number 29,442?

 A: 2, 3, 7, 701

Why are those the prime factors of the number 29,442?

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 29,442

29,442
Factor Arrows
214,721
Factor Arrows
34,907
Factor Arrows
7701

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, 701

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 701 = 29,442

This can also be written as 21 x 31 x 71 x 7011 = 29,442

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


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