Q: What are the prime factors of the number 60,382,500?

 A: 2, 3, 5, 83, 97

Why are those the prime factors of the number 60,382,500?

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 60,382,500

60,382,500
Factor Arrows
230,191,250
Factor Arrows
215,095,625
Factor Arrows
35,031,875
Factor Arrows
51,006,375
Factor Arrows
5201,275
Factor Arrows
540,255
Factor Arrows
58,051
Factor Arrows
8397

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, 83, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 83 x 97 = 60,382,500

This can also be written as 22 x 31 x 54 x 831 x 971 = 60,382,500

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


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