Q: What are the factor combinations of the number 23,747,425?

 A:
Positive:   1 x 237474255 x 474948513 x 182672525 x 94989765 x 36534589 x 266825325 x 73069445 x 53365821 x 289251157 x 205252225 x 106734105 x 5785
Negative: -1 x -23747425-5 x -4749485-13 x -1826725-25 x -949897-65 x -365345-89 x -266825-325 x -73069-445 x -53365-821 x -28925-1157 x -20525-2225 x -10673-4105 x -5785


How do I find the factor combinations of the number 23,747,425?

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 23,747,425, 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 23,747,425
-1 -23,747,425

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 23,747,425.

Example:
1 x 23,747,425 = 23,747,425
and
-1 x -23,747,425 = 23,747,425
Notice both answers equal 23,747,425

With that explanation out of the way, let's continue. Next, we take the number 23,747,425 and divide it by 2:

23,747,425 ÷ 2 = 11,873,712.5

If the quotient is a whole number, then 2 and 11,873,712.5 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 23,747,425
-1 -23,747,425

Now, we try dividing 23,747,425 by 3:

23,747,425 ÷ 3 = 7,915,808.3333

If the quotient is a whole number, then 3 and 7,915,808.3333 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 23,747,425
-1 -23,747,425

Let's try dividing by 4:

23,747,425 ÷ 4 = 5,936,856.25

If the quotient is a whole number, then 4 and 5,936,856.25 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 23,747,425
-1 23,747,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565893254458211,1572,2254,1055,78510,67320,52528,92553,36573,069266,825365,345949,8971,826,7254,749,48523,747,425
-1-5-13-25-65-89-325-445-821-1,157-2,225-4,105-5,785-10,673-20,525-28,925-53,365-73,069-266,825-365,345-949,897-1,826,725-4,749,485-23,747,425

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