Q: What are the prime factors of the number 601,540,674?

 A: 2, 3, 7, 43, 83, 4013

Why are those the prime factors of the number 601,540,674?

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 601,540,674

601,540,674
Factor Arrows
2300,770,337
Factor Arrows
3100,256,779
Factor Arrows
714,322,397
Factor Arrows
43333,079
Factor Arrows
834,013

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, 7, 43, 83, 4013

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 43 x 83 x 4,013 = 601,540,674

This can also be written as 21 x 31 x 71 x 431 x 831 x 4,0131 = 601,540,674

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


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