Q: What are the factor combinations of the number 23,438,311?

 A:
Positive:   1 x 2343831113 x 180294723 x 101905743 x 545077299 x 78389559 x 41929989 x 236991823 x 12857
Negative: -1 x -23438311-13 x -1802947-23 x -1019057-43 x -545077-299 x -78389-559 x -41929-989 x -23699-1823 x -12857


How do I find the factor combinations of the number 23,438,311?

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 23,438,311, 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 23,438,311
-1 -23,438,311

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 23,438,311.

Example:
1 x 23,438,311 = 23,438,311
and
-1 x -23,438,311 = 23,438,311
Notice both answers equal 23,438,311

With that explanation out of the way, let's continue. Next, we take the number 23,438,311 and divide it by 2:

23,438,311 ÷ 2 = 11,719,155.5

If the quotient is a whole number, then 2 and 11,719,155.5 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 23,438,311
-1 -23,438,311

Now, we try dividing 23,438,311 by 3:

23,438,311 ÷ 3 = 7,812,770.3333

If the quotient is a whole number, then 3 and 7,812,770.3333 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 23,438,311
-1 -23,438,311

Let's try dividing by 4:

23,438,311 ÷ 4 = 5,859,577.75

If the quotient is a whole number, then 4 and 5,859,577.75 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 23,438,311
-1 23,438,311
Keep dividing by the next highest number until you cannot divide anymore.

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

11323432995599891,82312,85723,69941,92978,389545,0771,019,0571,802,94723,438,311
-1-13-23-43-299-559-989-1,823-12,857-23,699-41,929-78,389-545,077-1,019,057-1,802,947-23,438,311

More Examples

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