Q: What are the factor combinations of the number 132,140,443?

 A:
Positive:   1 x 13214044329 x 455656771 x 1861133841 x 1571232059 x 641772213 x 59711
Negative: -1 x -132140443-29 x -4556567-71 x -1861133-841 x -157123-2059 x -64177-2213 x -59711


How do I find the factor combinations of the number 132,140,443?

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 132,140,443, 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.

1 132,140,443
-1 -132,140,443

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 132,140,443.

Example:
1 x 132,140,443 = 132,140,443
and
-1 x -132,140,443 = 132,140,443
Notice both answers equal 132,140,443

With that explanation out of the way, let's continue. Next, we take the number 132,140,443 and divide it by 2:

132,140,443 ÷ 2 = 66,070,221.5

If the quotient is a whole number, then 2 and 66,070,221.5 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:

1 132,140,443
-1 -132,140,443

Now, we try dividing 132,140,443 by 3:

132,140,443 ÷ 3 = 44,046,814.3333

If the quotient is a whole number, then 3 and 44,046,814.3333 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:

1 132,140,443
-1 -132,140,443

Let's try dividing by 4:

132,140,443 ÷ 4 = 33,035,110.75

If the quotient is a whole number, then 4 and 33,035,110.75 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:

1 132,140,443
-1 132,140,443
Keep dividing by the next highest number until you cannot divide anymore.

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

129718412,0592,21359,71164,177157,1231,861,1334,556,567132,140,443
-1-29-71-841-2,059-2,213-59,711-64,177-157,123-1,861,133-4,556,567-132,140,443

More Examples

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