Q: What are the prime factors of the number 27,762,860?

 A: 2, 5, 29, 151, 317

Why are those the prime factors of the number 27,762,860?

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 27,762,860

27,762,860
Factor Arrows
213,881,430
Factor Arrows
26,940,715
Factor Arrows
51,388,143
Factor Arrows
2947,867
Factor Arrows
151317

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, 151, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 29 x 151 x 317 = 27,762,860

This can also be written as 22 x 51 x 291 x 1511 x 3171 = 27,762,860

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


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