Q: What are the prime factors of the number 1,265,488?

 A: 2, 7, 11299

Why are those the prime factors of the number 1,265,488?

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 1,265,488

1,265,488
Factor Arrows
2632,744
Factor Arrows
2316,372
Factor Arrows
2158,186
Factor Arrows
279,093
Factor Arrows
711,299

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:

2, 7, 11299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 11,299 = 1,265,488

This can also be written as 24 x 71 x 11,2991 = 1,265,488

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


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