Q: What are the prime factors of the number 66,162,880?

 A: 2, 5, 7, 29537

Why are those the prime factors of the number 66,162,880?

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 66,162,880

66,162,880
Factor Arrows
233,081,440
Factor Arrows
216,540,720
Factor Arrows
28,270,360
Factor Arrows
24,135,180
Factor Arrows
22,067,590
Factor Arrows
21,033,795
Factor Arrows
5206,759
Factor Arrows
729,537

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, 7, 29537

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 7 x 29,537 = 66,162,880

This can also be written as 26 x 51 x 71 x 29,5371 = 66,162,880

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


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