Q: What are the prime factors of the number 76,111,244?

 A: 2, 11, 17, 97, 1049

Why are those the prime factors of the number 76,111,244?

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 76,111,244

76,111,244
Factor Arrows
238,055,622
Factor Arrows
219,027,811
Factor Arrows
111,729,801
Factor Arrows
17101,753
Factor Arrows
971,049

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, 11, 17, 97, 1049

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 17 x 97 x 1,049 = 76,111,244

This can also be written as 22 x 111 x 171 x 971 x 1,0491 = 76,111,244

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


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