Q: What are the prime factors of the number 773,351,230?

 A: 2, 5, 4973, 15551

Why are those the prime factors of the number 773,351,230?

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 773,351,230

773,351,230
Factor Arrows
2386,675,615
Factor Arrows
577,335,123
Factor Arrows
4,97315,551

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, 4973, 15551

We can check our work by multiplying all of the prime factors together: 2 x 5 x 4,973 x 15,551 = 773,351,230

This can also be written as 21 x 51 x 4,9731 x 15,5511 = 773,351,230

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


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