Q: What are the prime factors of the number 51,031,269?

 A: 3, 487, 3881

Why are those the prime factors of the number 51,031,269?

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 51,031,269

51,031,269
Factor Arrows
317,010,423
Factor Arrows
35,670,141
Factor Arrows
31,890,047
Factor Arrows
4873,881

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, 487, 3881

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 487 x 3,881 = 51,031,269

This can also be written as 33 x 4871 x 3,8811 = 51,031,269

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


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