Q: What are the prime factors of the number 1,237,455?

 A: 3, 5, 107, 257

Why are those the prime factors of the number 1,237,455?

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 1,237,455

1,237,455
Factor Arrows
3412,485
Factor Arrows
3137,495
Factor Arrows
527,499
Factor Arrows
107257

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, 5, 107, 257

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 107 x 257 = 1,237,455

This can also be written as 32 x 51 x 1071 x 2571 = 1,237,455

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


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