Q: What are the prime factors of the number 462,372?

 A: 2, 3, 53, 727

Why are those the prime factors of the number 462,372?

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 462,372

462,372
Factor Arrows
2231,186
Factor Arrows
2115,593
Factor Arrows
338,531
Factor Arrows
53727

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, 53, 727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 727 = 462,372

This can also be written as 22 x 31 x 531 x 7271 = 462,372

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


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