Q: What are the factor combinations of the number 23,711,435?

 A:
Positive:   1 x 237114355 x 474228711 x 215558531 x 76488555 x 431117155 x 152977341 x 695351705 x 13907
Negative: -1 x -23711435-5 x -4742287-11 x -2155585-31 x -764885-55 x -431117-155 x -152977-341 x -69535-1705 x -13907


How do I find the factor combinations of the number 23,711,435?

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 23,711,435, 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 23,711,435
-1 -23,711,435

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 23,711,435.

Example:
1 x 23,711,435 = 23,711,435
and
-1 x -23,711,435 = 23,711,435
Notice both answers equal 23,711,435

With that explanation out of the way, let's continue. Next, we take the number 23,711,435 and divide it by 2:

23,711,435 ÷ 2 = 11,855,717.5

If the quotient is a whole number, then 2 and 11,855,717.5 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 23,711,435
-1 -23,711,435

Now, we try dividing 23,711,435 by 3:

23,711,435 ÷ 3 = 7,903,811.6667

If the quotient is a whole number, then 3 and 7,903,811.6667 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 23,711,435
-1 -23,711,435

Let's try dividing by 4:

23,711,435 ÷ 4 = 5,927,858.75

If the quotient is a whole number, then 4 and 5,927,858.75 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 23,711,435
-1 23,711,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70513,90769,535152,977431,117764,8852,155,5854,742,28723,711,435
-1-5-11-31-55-155-341-1,705-13,907-69,535-152,977-431,117-764,885-2,155,585-4,742,287-23,711,435

More Examples

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