Q: What are the prime factors of the number 2,311,424?

 A: 2, 9029

Why are those the prime factors of the number 2,311,424?

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 2,311,424

2,311,424
Factor Arrows
21,155,712
Factor Arrows
2577,856
Factor Arrows
2288,928
Factor Arrows
2144,464
Factor Arrows
272,232
Factor Arrows
236,116
Factor Arrows
218,058
Factor Arrows
29,029

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, 9029

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 2 x 2 x 9,029 = 2,311,424

This can also be written as 28 x 9,0291 = 2,311,424

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


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