Q: What are the prime factors of the number 770,540,450?

 A: 2, 5, 617, 24977

Why are those the prime factors of the number 770,540,450?

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 770,540,450

770,540,450
Factor Arrows
2385,270,225
Factor Arrows
577,054,045
Factor Arrows
515,410,809
Factor Arrows
61724,977

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, 5, 617, 24977

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 617 x 24,977 = 770,540,450

This can also be written as 21 x 52 x 6171 x 24,9771 = 770,540,450

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


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