Q: What are the prime factors of the number 151,456,311?

 A: 3, 23, 3011

Why are those the prime factors of the number 151,456,311?

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 151,456,311

151,456,311
Factor Arrows
350,485,437
Factor Arrows
316,828,479
Factor Arrows
35,609,493
Factor Arrows
31,869,831
Factor Arrows
3623,277
Factor Arrows
3207,759
Factor Arrows
369,253
Factor Arrows
233,011

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, 23, 3011

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 23 x 3,011 = 151,456,311

This can also be written as 37 x 231 x 3,0111 = 151,456,311

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


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