Q: What are the prime factors of the number 60,179,250?

 A: 2, 3, 5, 80239

Why are those the prime factors of the number 60,179,250?

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 60,179,250

60,179,250
Factor Arrows
230,089,625
Factor Arrows
310,029,875
Factor Arrows
52,005,975
Factor Arrows
5401,195
Factor Arrows
580,239

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, 80239

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 80,239 = 60,179,250

This can also be written as 21 x 31 x 53 x 80,2391 = 60,179,250

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


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