Q: What are the prime factors of the number 197,544,674?

 A: 2, 53, 547, 3407

Why are those the prime factors of the number 197,544,674?

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 197,544,674

197,544,674
Factor Arrows
298,772,337
Factor Arrows
531,863,629
Factor Arrows
5473,407

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, 53, 547, 3407

We can check our work by multiplying all of the prime factors together: 2 x 53 x 547 x 3,407 = 197,544,674

This can also be written as 21 x 531 x 5471 x 3,4071 = 197,544,674

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


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