Q: What are the factor combinations of the number 23,020,459?

 A:
Positive:   1 x 230204597 x 328863711 x 209276947 x 48979777 x 298967329 x 69971517 x 445273619 x 6361
Negative: -1 x -23020459-7 x -3288637-11 x -2092769-47 x -489797-77 x -298967-329 x -69971-517 x -44527-3619 x -6361


How do I find the factor combinations of the number 23,020,459?

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 23,020,459, 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 23,020,459
-1 -23,020,459

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 23,020,459.

Example:
1 x 23,020,459 = 23,020,459
and
-1 x -23,020,459 = 23,020,459
Notice both answers equal 23,020,459

With that explanation out of the way, let's continue. Next, we take the number 23,020,459 and divide it by 2:

23,020,459 ÷ 2 = 11,510,229.5

If the quotient is a whole number, then 2 and 11,510,229.5 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 23,020,459
-1 -23,020,459

Now, we try dividing 23,020,459 by 3:

23,020,459 ÷ 3 = 7,673,486.3333

If the quotient is a whole number, then 3 and 7,673,486.3333 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 23,020,459
-1 -23,020,459

Let's try dividing by 4:

23,020,459 ÷ 4 = 5,755,114.75

If the quotient is a whole number, then 4 and 5,755,114.75 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 23,020,459
-1 23,020,459
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295173,6196,36144,52769,971298,967489,7972,092,7693,288,63723,020,459
-1-7-11-47-77-329-517-3,619-6,361-44,527-69,971-298,967-489,797-2,092,769-3,288,637-23,020,459

More Examples

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