Q: What are the prime factors of the number 60,307,016?

 A: 2, 7, 11, 47, 2083

Why are those the prime factors of the number 60,307,016?

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 60,307,016

60,307,016
Factor Arrows
230,153,508
Factor Arrows
215,076,754
Factor Arrows
27,538,377
Factor Arrows
71,076,911
Factor Arrows
1197,901
Factor Arrows
472,083

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, 7, 11, 47, 2083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 47 x 2,083 = 60,307,016

This can also be written as 23 x 71 x 111 x 471 x 2,0831 = 60,307,016

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


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