Q: What are the prime factors of the number 168,001,040?

 A: 2, 5, 19, 110527

Why are those the prime factors of the number 168,001,040?

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 168,001,040

168,001,040
Factor Arrows
284,000,520
Factor Arrows
242,000,260
Factor Arrows
221,000,130
Factor Arrows
210,500,065
Factor Arrows
52,100,013
Factor Arrows
19110,527

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, 19, 110527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 110,527 = 168,001,040

This can also be written as 24 x 51 x 191 x 110,5271 = 168,001,040

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


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