Q: What are the prime factors of the number 4,230,848?

 A: 2, 66107

Why are those the prime factors of the number 4,230,848?

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 4,230,848

4,230,848
Factor Arrows
22,115,424
Factor Arrows
21,057,712
Factor Arrows
2528,856
Factor Arrows
2264,428
Factor Arrows
2132,214
Factor Arrows
266,107

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, 66107

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 66,107 = 4,230,848

This can also be written as 26 x 66,1071 = 4,230,848

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


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