Q: What are the prime factors of the number 42,368?

 A: 2, 331

Why are those the prime factors of the number 42,368?

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 42,368

42,368
Factor Arrows
221,184
Factor Arrows
210,592
Factor Arrows
25,296
Factor Arrows
22,648
Factor Arrows
21,324
Factor Arrows
2662
Factor Arrows
2331

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, 331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 331 = 42,368

This can also be written as 27 x 3311 = 42,368

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


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