Q: What are the prime factors of the number 60,949,880?

 A: 2, 5, 29, 52543

Why are those the prime factors of the number 60,949,880?

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 60,949,880

60,949,880
Factor Arrows
230,474,940
Factor Arrows
215,237,470
Factor Arrows
27,618,735
Factor Arrows
51,523,747
Factor Arrows
2952,543

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, 29, 52543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 29 x 52,543 = 60,949,880

This can also be written as 23 x 51 x 291 x 52,5431 = 60,949,880

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


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