Q: What are the prime factors of the number 60,260,330?

 A: 2, 5, 13, 181, 197

Why are those the prime factors of the number 60,260,330?

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 60,260,330

60,260,330
Factor Arrows
230,130,165
Factor Arrows
56,026,033
Factor Arrows
13463,541
Factor Arrows
1335,657
Factor Arrows
181197

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, 13, 181, 197

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 13 x 181 x 197 = 60,260,330

This can also be written as 21 x 51 x 132 x 1811 x 1971 = 60,260,330

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


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