Q: What are the prime factors of the number 611,326,251?

 A: 3, 191, 118543

Why are those the prime factors of the number 611,326,251?

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 611,326,251

611,326,251
Factor Arrows
3203,775,417
Factor Arrows
367,925,139
Factor Arrows
322,641,713
Factor Arrows
191118,543

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, 191, 118543

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 191 x 118,543 = 611,326,251

This can also be written as 33 x 1911 x 118,5431 = 611,326,251

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


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