Q: What are the factor combinations of the number 23,613,733?

 A:
Positive:   1 x 2361373311 x 214670313 x 181644137 x 638209143 x 165131407 x 58019481 x 490934463 x 5291
Negative: -1 x -23613733-11 x -2146703-13 x -1816441-37 x -638209-143 x -165131-407 x -58019-481 x -49093-4463 x -5291


How do I find the factor combinations of the number 23,613,733?

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 23,613,733, 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 23,613,733
-1 -23,613,733

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 23,613,733.

Example:
1 x 23,613,733 = 23,613,733
and
-1 x -23,613,733 = 23,613,733
Notice both answers equal 23,613,733

With that explanation out of the way, let's continue. Next, we take the number 23,613,733 and divide it by 2:

23,613,733 ÷ 2 = 11,806,866.5

If the quotient is a whole number, then 2 and 11,806,866.5 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 23,613,733
-1 -23,613,733

Now, we try dividing 23,613,733 by 3:

23,613,733 ÷ 3 = 7,871,244.3333

If the quotient is a whole number, then 3 and 7,871,244.3333 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 23,613,733
-1 -23,613,733

Let's try dividing by 4:

23,613,733 ÷ 4 = 5,903,433.25

If the quotient is a whole number, then 4 and 5,903,433.25 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 23,613,733
-1 23,613,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11113371434074814,4635,29149,09358,019165,131638,2091,816,4412,146,70323,613,733
-1-11-13-37-143-407-481-4,463-5,291-49,093-58,019-165,131-638,209-1,816,441-2,146,703-23,613,733

More Examples

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