Q: What are the prime factors of the number 10,859,488?

 A: 2, 19, 53, 337

Why are those the prime factors of the number 10,859,488?

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 10,859,488

10,859,488
Factor Arrows
25,429,744
Factor Arrows
22,714,872
Factor Arrows
21,357,436
Factor Arrows
2678,718
Factor Arrows
2339,359
Factor Arrows
1917,861
Factor Arrows
53337

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, 19, 53, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 53 x 337 = 10,859,488

This can also be written as 25 x 191 x 531 x 3371 = 10,859,488

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


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