Q: What are the prime factors of the number 77,445,475?

 A: 5, 673, 4603

Why are those the prime factors of the number 77,445,475?

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 77,445,475

77,445,475
Factor Arrows
515,489,095
Factor Arrows
53,097,819
Factor Arrows
6734,603

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:

5, 673, 4603

We can check our work by multiplying all of the prime factors together: 5 x 5 x 673 x 4,603 = 77,445,475

This can also be written as 52 x 6731 x 4,6031 = 77,445,475

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


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