Q: What are the prime factors of the number 160,710,088?

 A: 2, 7, 11, 260893

Why are those the prime factors of the number 160,710,088?

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 160,710,088

160,710,088
Factor Arrows
280,355,044
Factor Arrows
240,177,522
Factor Arrows
220,088,761
Factor Arrows
72,869,823
Factor Arrows
11260,893

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, 11, 260893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 260,893 = 160,710,088

This can also be written as 23 x 71 x 111 x 260,8931 = 160,710,088

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


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