Q: What are the prime factors of the number 155,022,014?

 A: 2, 7, 17, 313, 2081

Why are those the prime factors of the number 155,022,014?

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 155,022,014

155,022,014
Factor Arrows
277,511,007
Factor Arrows
711,073,001
Factor Arrows
17651,353
Factor Arrows
3132,081

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, 7, 17, 313, 2081

We can check our work by multiplying all of the prime factors together: 2 x 7 x 17 x 313 x 2,081 = 155,022,014

This can also be written as 21 x 71 x 171 x 3131 x 2,0811 = 155,022,014

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


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