Q: What are the factor combinations of the number 23,023,679?

 A:
Positive:   1 x 230236797 x 328909749 x 46987167 x 343637469 x 490913283 x 7013
Negative: -1 x -23023679-7 x -3289097-49 x -469871-67 x -343637-469 x -49091-3283 x -7013


How do I find the factor combinations of the number 23,023,679?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 23,023,679, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 23,023,679
-1 -23,023,679

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,023,679.

Example:
1 x 23,023,679 = 23,023,679
and
-1 x -23,023,679 = 23,023,679
Notice both answers equal 23,023,679

With that explanation out of the way, let's continue. Next, we take the number 23,023,679 and divide it by 2:

23,023,679 ÷ 2 = 11,511,839.5

If the quotient is a whole number, then 2 and 11,511,839.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,023,679
-1 -23,023,679

Now, we try dividing 23,023,679 by 3:

23,023,679 ÷ 3 = 7,674,559.6667

If the quotient is a whole number, then 3 and 7,674,559.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,023,679
-1 -23,023,679

Let's try dividing by 4:

23,023,679 ÷ 4 = 5,755,919.75

If the quotient is a whole number, then 4 and 5,755,919.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,023,679
-1 23,023,679
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1749674693,2837,01349,091343,637469,8713,289,09723,023,679
-1-7-49-67-469-3,283-7,013-49,091-343,637-469,871-3,289,097-23,023,679

More Examples

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