Q: What are the prime factors of the number 120,543,050?

 A: 2, 5, 67, 35983

Why are those the prime factors of the number 120,543,050?

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 120,543,050

120,543,050
Factor Arrows
260,271,525
Factor Arrows
512,054,305
Factor Arrows
52,410,861
Factor Arrows
6735,983

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, 67, 35983

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 67 x 35,983 = 120,543,050

This can also be written as 21 x 52 x 671 x 35,9831 = 120,543,050

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


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