Q: What are the prime factors of the number 60,216,162?

 A: 2, 3, 23, 53, 8233

Why are those the prime factors of the number 60,216,162?

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 60,216,162

60,216,162
Factor Arrows
230,108,081
Factor Arrows
310,036,027
Factor Arrows
23436,349
Factor Arrows
538,233

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, 23, 53, 8233

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 53 x 8,233 = 60,216,162

This can also be written as 21 x 31 x 231 x 531 x 8,2331 = 60,216,162

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


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