Q: What are the prime factors of the number 60,112,998?

 A: 2, 3, 11, 19, 29

Why are those the prime factors of the number 60,112,998?

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 60,112,998

60,112,998
Factor Arrows
230,056,499
Factor Arrows
310,018,833
Factor Arrows
33,339,611
Factor Arrows
11303,601
Factor Arrows
1915,979
Factor Arrows
19841
Factor Arrows
2929

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, 19, 29

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 19 x 19 x 29 x 29 = 60,112,998

This can also be written as 21 x 32 x 111 x 192 x 292 = 60,112,998

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


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