Q: What are the prime factors of the number 650,563,738?

 A: 2, 11, 197, 150107

Why are those the prime factors of the number 650,563,738?

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 650,563,738

650,563,738
Factor Arrows
2325,281,869
Factor Arrows
1129,571,079
Factor Arrows
197150,107

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, 11, 197, 150107

We can check our work by multiplying all of the prime factors together: 2 x 11 x 197 x 150,107 = 650,563,738

This can also be written as 21 x 111 x 1971 x 150,1071 = 650,563,738

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


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