Q: What are the prime factors of the number 60,663,438?

 A: 2, 3, 11, 73, 1399

Why are those the prime factors of the number 60,663,438?

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 60,663,438

60,663,438
Factor Arrows
230,331,719
Factor Arrows
310,110,573
Factor Arrows
33,370,191
Factor Arrows
31,123,397
Factor Arrows
11102,127
Factor Arrows
731,399

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, 11, 73, 1399

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 73 x 1,399 = 60,663,438

This can also be written as 21 x 33 x 111 x 731 x 1,3991 = 60,663,438

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


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