Q: What are the prime factors of the number 3,576,848?

 A: 2, 11, 20323

Why are those the prime factors of the number 3,576,848?

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 3,576,848

3,576,848
Factor Arrows
21,788,424
Factor Arrows
2894,212
Factor Arrows
2447,106
Factor Arrows
2223,553
Factor Arrows
1120,323

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, 11, 20323

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 20,323 = 3,576,848

This can also be written as 24 x 111 x 20,3231 = 3,576,848

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


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