Q: What are the prime factors of the number 771,616?

 A: 2, 24113

Why are those the prime factors of the number 771,616?

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 771,616

771,616
Factor Arrows
2385,808
Factor Arrows
2192,904
Factor Arrows
296,452
Factor Arrows
248,226
Factor Arrows
224,113

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, 24113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 24,113 = 771,616

This can also be written as 25 x 24,1131 = 771,616

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


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