Q: What are the prime factors of the number 60,456,102?

 A: 2, 3, 7, 205633

Why are those the prime factors of the number 60,456,102?

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 60,456,102

60,456,102
Factor Arrows
230,228,051
Factor Arrows
310,076,017
Factor Arrows
71,439,431
Factor Arrows
7205,633

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, 7, 205633

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 205,633 = 60,456,102

This can also be written as 21 x 31 x 72 x 205,6331 = 60,456,102

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


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