Q: What are the prime factors of the number 77,818,444?

 A: 2, 11, 97, 18233

Why are those the prime factors of the number 77,818,444?

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 77,818,444

77,818,444
Factor Arrows
238,909,222
Factor Arrows
219,454,611
Factor Arrows
111,768,601
Factor Arrows
9718,233

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, 97, 18233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 97 x 18,233 = 77,818,444

This can also be written as 22 x 111 x 971 x 18,2331 = 77,818,444

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


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