Q: What are the prime factors of the number 481,437,662?

 A: 2, 41, 197, 29803

Why are those the prime factors of the number 481,437,662?

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 481,437,662

481,437,662
Factor Arrows
2240,718,831
Factor Arrows
415,871,191
Factor Arrows
19729,803

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, 41, 197, 29803

We can check our work by multiplying all of the prime factors together: 2 x 41 x 197 x 29,803 = 481,437,662

This can also be written as 21 x 411 x 1971 x 29,8031 = 481,437,662

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


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