Q: What are the prime factors of the number 2,823,488?

 A: 2, 157, 281

Why are those the prime factors of the number 2,823,488?

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 2,823,488

2,823,488
Factor Arrows
21,411,744
Factor Arrows
2705,872
Factor Arrows
2352,936
Factor Arrows
2176,468
Factor Arrows
288,234
Factor Arrows
244,117
Factor Arrows
157281

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, 157, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 157 x 281 = 2,823,488

This can also be written as 26 x 1571 x 2811 = 2,823,488

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


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