Q: What are the prime factors of the number 60,206,750?

 A: 2, 5, 73, 3299

Why are those the prime factors of the number 60,206,750?

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 60,206,750

60,206,750
Factor Arrows
230,103,375
Factor Arrows
56,020,675
Factor Arrows
51,204,135
Factor Arrows
5240,827
Factor Arrows
733,299

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, 5, 73, 3299

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 73 x 3,299 = 60,206,750

This can also be written as 21 x 53 x 731 x 3,2991 = 60,206,750

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


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