Q: What are the prime factors of the number 60,846,280?

 A: 2, 5, 11, 61, 2267

Why are those the prime factors of the number 60,846,280?

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 60,846,280

60,846,280
Factor Arrows
230,423,140
Factor Arrows
215,211,570
Factor Arrows
27,605,785
Factor Arrows
51,521,157
Factor Arrows
11138,287
Factor Arrows
612,267

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, 11, 61, 2267

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 61 x 2,267 = 60,846,280

This can also be written as 23 x 51 x 111 x 611 x 2,2671 = 60,846,280

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


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