Q: What are the prime factors of the number 72,777,776?

 A: 2, 4548611

Why are those the prime factors of the number 72,777,776?

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 72,777,776

72,777,776
Factor Arrows
236,388,888
Factor Arrows
218,194,444
Factor Arrows
29,097,222
Factor Arrows
24,548,611

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, 4548611

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 4,548,611 = 72,777,776

This can also be written as 24 x 4,548,6111 = 72,777,776

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


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