Q: What are the prime factors of the number 601,245,276?

 A: 2, 3, 50103773

Why are those the prime factors of the number 601,245,276?

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 601,245,276

601,245,276
Factor Arrows
2300,622,638
Factor Arrows
2150,311,319
Factor Arrows
350,103,773

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, 3, 50103773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 50,103,773 = 601,245,276

This can also be written as 22 x 31 x 50,103,7731 = 601,245,276

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


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