Q: What are the factor combinations of the number 23,426,585?

 A:
Positive:   1 x 234265855 x 46853177 x 334665513 x 180204535 x 66933165 x 36040991 x 257435455 x 51487
Negative: -1 x -23426585-5 x -4685317-7 x -3346655-13 x -1802045-35 x -669331-65 x -360409-91 x -257435-455 x -51487


How do I find the factor combinations of the number 23,426,585?

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 23,426,585, 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 23,426,585
-1 -23,426,585

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 23,426,585.

Example:
1 x 23,426,585 = 23,426,585
and
-1 x -23,426,585 = 23,426,585
Notice both answers equal 23,426,585

With that explanation out of the way, let's continue. Next, we take the number 23,426,585 and divide it by 2:

23,426,585 ÷ 2 = 11,713,292.5

If the quotient is a whole number, then 2 and 11,713,292.5 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 23,426,585
-1 -23,426,585

Now, we try dividing 23,426,585 by 3:

23,426,585 ÷ 3 = 7,808,861.6667

If the quotient is a whole number, then 3 and 7,808,861.6667 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 23,426,585
-1 -23,426,585

Let's try dividing by 4:

23,426,585 ÷ 4 = 5,856,646.25

If the quotient is a whole number, then 4 and 5,856,646.25 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 23,426,585
-1 23,426,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145551,487257,435360,409669,3311,802,0453,346,6554,685,31723,426,585
-1-5-7-13-35-65-91-455-51,487-257,435-360,409-669,331-1,802,045-3,346,655-4,685,317-23,426,585

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