Q: What are the prime factors of the number 2,076,584?

 A: 2, 17, 15269

Why are those the prime factors of the number 2,076,584?

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 2,076,584

2,076,584
Factor Arrows
21,038,292
Factor Arrows
2519,146
Factor Arrows
2259,573
Factor Arrows
1715,269

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, 17, 15269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 15,269 = 2,076,584

This can also be written as 23 x 171 x 15,2691 = 2,076,584

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


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