Q: What are the factor combinations of the number 23,742,755?

 A:
Positive:   1 x 237427555 x 474855147 x 50516571 x 334405235 x 101033355 x 668811423 x 166853337 x 7115
Negative: -1 x -23742755-5 x -4748551-47 x -505165-71 x -334405-235 x -101033-355 x -66881-1423 x -16685-3337 x -7115


How do I find the factor combinations of the number 23,742,755?

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 23,742,755, 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 23,742,755
-1 -23,742,755

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 23,742,755.

Example:
1 x 23,742,755 = 23,742,755
and
-1 x -23,742,755 = 23,742,755
Notice both answers equal 23,742,755

With that explanation out of the way, let's continue. Next, we take the number 23,742,755 and divide it by 2:

23,742,755 ÷ 2 = 11,871,377.5

If the quotient is a whole number, then 2 and 11,871,377.5 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 23,742,755
-1 -23,742,755

Now, we try dividing 23,742,755 by 3:

23,742,755 ÷ 3 = 7,914,251.6667

If the quotient is a whole number, then 3 and 7,914,251.6667 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 23,742,755
-1 -23,742,755

Let's try dividing by 4:

23,742,755 ÷ 4 = 5,935,688.75

If the quotient is a whole number, then 4 and 5,935,688.75 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 23,742,755
-1 23,742,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1547712353551,4233,3377,11516,68566,881101,033334,405505,1654,748,55123,742,755
-1-5-47-71-235-355-1,423-3,337-7,115-16,685-66,881-101,033-334,405-505,165-4,748,551-23,742,755

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