Q: What are the factor combinations of the number 132,551,425?

 A:
Positive:   1 x 1325514255 x 2651028525 x 5302057277 x 4785251385 x 957056925 x 19141
Negative: -1 x -132551425-5 x -26510285-25 x -5302057-277 x -478525-1385 x -95705-6925 x -19141


How do I find the factor combinations of the number 132,551,425?

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 132,551,425, 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.

1 132,551,425
-1 -132,551,425

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 132,551,425.

Example:
1 x 132,551,425 = 132,551,425
and
-1 x -132,551,425 = 132,551,425
Notice both answers equal 132,551,425

With that explanation out of the way, let's continue. Next, we take the number 132,551,425 and divide it by 2:

132,551,425 ÷ 2 = 66,275,712.5

If the quotient is a whole number, then 2 and 66,275,712.5 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:

1 132,551,425
-1 -132,551,425

Now, we try dividing 132,551,425 by 3:

132,551,425 ÷ 3 = 44,183,808.3333

If the quotient is a whole number, then 3 and 44,183,808.3333 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:

1 132,551,425
-1 -132,551,425

Let's try dividing by 4:

132,551,425 ÷ 4 = 33,137,856.25

If the quotient is a whole number, then 4 and 33,137,856.25 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:

1 132,551,425
-1 132,551,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15252771,3856,92519,14195,705478,5255,302,05726,510,285132,551,425
-1-5-25-277-1,385-6,925-19,141-95,705-478,525-5,302,057-26,510,285-132,551,425

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