Q: What are the prime factors of the number 166,840,120?

 A: 2, 5, 4171003

Why are those the prime factors of the number 166,840,120?

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 166,840,120

166,840,120
Factor Arrows
283,420,060
Factor Arrows
241,710,030
Factor Arrows
220,855,015
Factor Arrows
54,171,003

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, 4171003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 4,171,003 = 166,840,120

This can also be written as 23 x 51 x 4,171,0031 = 166,840,120

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


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