Q: What are the factor combinations of the number 132,635,143?

 A:
Positive:   1 x 13263514319 x 698079731 x 427855367 x 1979629589 x 2251871273 x 1041912077 x 638593361 x 39463
Negative: -1 x -132635143-19 x -6980797-31 x -4278553-67 x -1979629-589 x -225187-1273 x -104191-2077 x -63859-3361 x -39463


How do I find the factor combinations of the number 132,635,143?

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 132,635,143, 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.

1 132,635,143
-1 -132,635,143

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 132,635,143.

Example:
1 x 132,635,143 = 132,635,143
and
-1 x -132,635,143 = 132,635,143
Notice both answers equal 132,635,143

With that explanation out of the way, let's continue. Next, we take the number 132,635,143 and divide it by 2:

132,635,143 ÷ 2 = 66,317,571.5

If the quotient is a whole number, then 2 and 66,317,571.5 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:

1 132,635,143
-1 -132,635,143

Now, we try dividing 132,635,143 by 3:

132,635,143 ÷ 3 = 44,211,714.3333

If the quotient is a whole number, then 3 and 44,211,714.3333 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:

1 132,635,143
-1 -132,635,143

Let's try dividing by 4:

132,635,143 ÷ 4 = 33,158,785.75

If the quotient is a whole number, then 4 and 33,158,785.75 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:

1 132,635,143
-1 132,635,143
Keep dividing by the next highest number until you cannot divide anymore.

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

11931675891,2732,0773,36139,46363,859104,191225,1871,979,6294,278,5536,980,797132,635,143
-1-19-31-67-589-1,273-2,077-3,361-39,463-63,859-104,191-225,187-1,979,629-4,278,553-6,980,797-132,635,143

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