Q: What are the prime factors of the number 60,911,040?

 A: 2, 3, 5, 67, 947

Why are those the prime factors of the number 60,911,040?

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 60,911,040

60,911,040
Factor Arrows
230,455,520
Factor Arrows
215,227,760
Factor Arrows
27,613,880
Factor Arrows
23,806,940
Factor Arrows
21,903,470
Factor Arrows
2951,735
Factor Arrows
3317,245
Factor Arrows
563,449
Factor Arrows
67947

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, 67, 947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 67 x 947 = 60,911,040

This can also be written as 26 x 31 x 51 x 671 x 9471 = 60,911,040

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


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