Q: What are the prime factors of the number 60,510,510?

 A: 2, 3, 5, 224113

Why are those the prime factors of the number 60,510,510?

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 60,510,510

60,510,510
Factor Arrows
230,255,255
Factor Arrows
310,085,085
Factor Arrows
33,361,695
Factor Arrows
31,120,565
Factor Arrows
5224,113

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, 224113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 224,113 = 60,510,510

This can also be written as 21 x 33 x 51 x 224,1131 = 60,510,510

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


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