Q: What are the prime factors of the number 60,258,302?

 A: 2, 13, 17, 10487

Why are those the prime factors of the number 60,258,302?

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 60,258,302

60,258,302
Factor Arrows
230,129,151
Factor Arrows
132,317,627
Factor Arrows
13178,279
Factor Arrows
1710,487

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, 13, 17, 10487

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 17 x 10,487 = 60,258,302

This can also be written as 21 x 132 x 171 x 10,4871 = 60,258,302

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


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