Q: What are the prime factors of the number 160,962,880?

 A: 2, 5, 13, 38693

Why are those the prime factors of the number 160,962,880?

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 160,962,880

160,962,880
Factor Arrows
280,481,440
Factor Arrows
240,240,720
Factor Arrows
220,120,360
Factor Arrows
210,060,180
Factor Arrows
25,030,090
Factor Arrows
22,515,045
Factor Arrows
5503,009
Factor Arrows
1338,693

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, 13, 38693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 38,693 = 160,962,880

This can also be written as 26 x 51 x 131 x 38,6931 = 160,962,880

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


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