Q: What are the prime factors of the number 60,636,160?

 A: 2, 5, 13, 911

Why are those the prime factors of the number 60,636,160?

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 60,636,160

60,636,160
Factor Arrows
230,318,080
Factor Arrows
215,159,040
Factor Arrows
27,579,520
Factor Arrows
23,789,760
Factor Arrows
21,894,880
Factor Arrows
2947,440
Factor Arrows
2473,720
Factor Arrows
2236,860
Factor Arrows
2118,430
Factor Arrows
259,215
Factor Arrows
511,843
Factor Arrows
13911

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, 911

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 2 x 2 x 2 x 2 x 5 x 13 x 911 = 60,636,160

This can also be written as 210 x 51 x 131 x 9111 = 60,636,160

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


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