Q: What are the prime factors of the number 200,037,897?

 A: 3, 619, 11969

Why are those the prime factors of the number 200,037,897?

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 200,037,897

200,037,897
Factor Arrows
366,679,299
Factor Arrows
322,226,433
Factor Arrows
37,408,811
Factor Arrows
61911,969

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:

3, 619, 11969

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 619 x 11,969 = 200,037,897

This can also be written as 33 x 6191 x 11,9691 = 200,037,897

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


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