Q: What are the factor combinations of the number 23,016,805?

 A:
Positive:   1 x 230168055 x 46033617 x 328811535 x 657623457 x 503651439 x 159952285 x 100733199 x 7195
Negative: -1 x -23016805-5 x -4603361-7 x -3288115-35 x -657623-457 x -50365-1439 x -15995-2285 x -10073-3199 x -7195


How do I find the factor combinations of the number 23,016,805?

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 23,016,805, 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 23,016,805
-1 -23,016,805

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 23,016,805.

Example:
1 x 23,016,805 = 23,016,805
and
-1 x -23,016,805 = 23,016,805
Notice both answers equal 23,016,805

With that explanation out of the way, let's continue. Next, we take the number 23,016,805 and divide it by 2:

23,016,805 ÷ 2 = 11,508,402.5

If the quotient is a whole number, then 2 and 11,508,402.5 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 23,016,805
-1 -23,016,805

Now, we try dividing 23,016,805 by 3:

23,016,805 ÷ 3 = 7,672,268.3333

If the quotient is a whole number, then 3 and 7,672,268.3333 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 23,016,805
-1 -23,016,805

Let's try dividing by 4:

23,016,805 ÷ 4 = 5,754,201.25

If the quotient is a whole number, then 4 and 5,754,201.25 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 23,016,805
-1 23,016,805
Keep dividing by the next highest number until you cannot divide anymore.

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

157354571,4392,2853,1997,19510,07315,99550,365657,6233,288,1154,603,36123,016,805
-1-5-7-35-457-1,439-2,285-3,199-7,195-10,073-15,995-50,365-657,623-3,288,115-4,603,361-23,016,805

More Examples

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