Q: What are the prime factors of the number 60,416,460?

 A: 2, 3, 5, 13, 25819

Why are those the prime factors of the number 60,416,460?

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 60,416,460

60,416,460
Factor Arrows
230,208,230
Factor Arrows
215,104,115
Factor Arrows
35,034,705
Factor Arrows
31,678,235
Factor Arrows
5335,647
Factor Arrows
1325,819

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, 5, 13, 25819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 13 x 25,819 = 60,416,460

This can also be written as 22 x 32 x 51 x 131 x 25,8191 = 60,416,460

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


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