Q: What are the prime factors of the number 773,366,740?

 A: 2, 5, 1283, 30139

Why are those the prime factors of the number 773,366,740?

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 773,366,740

773,366,740
Factor Arrows
2386,683,370
Factor Arrows
2193,341,685
Factor Arrows
538,668,337
Factor Arrows
1,28330,139

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, 1283, 30139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,283 x 30,139 = 773,366,740

This can also be written as 22 x 51 x 1,2831 x 30,1391 = 773,366,740

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


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