Q: What are the factor combinations of the number 132,212,303?

 A:
Positive:   1 x 13221230323 x 574836131 x 4264913107 x 1235629713 x 1854311733 x 762912461 x 537233317 x 39859
Negative: -1 x -132212303-23 x -5748361-31 x -4264913-107 x -1235629-713 x -185431-1733 x -76291-2461 x -53723-3317 x -39859


How do I find the factor combinations of the number 132,212,303?

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 132,212,303, 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.

1 132,212,303
-1 -132,212,303

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 132,212,303.

Example:
1 x 132,212,303 = 132,212,303
and
-1 x -132,212,303 = 132,212,303
Notice both answers equal 132,212,303

With that explanation out of the way, let's continue. Next, we take the number 132,212,303 and divide it by 2:

132,212,303 ÷ 2 = 66,106,151.5

If the quotient is a whole number, then 2 and 66,106,151.5 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:

1 132,212,303
-1 -132,212,303

Now, we try dividing 132,212,303 by 3:

132,212,303 ÷ 3 = 44,070,767.6667

If the quotient is a whole number, then 3 and 44,070,767.6667 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:

1 132,212,303
-1 -132,212,303

Let's try dividing by 4:

132,212,303 ÷ 4 = 33,053,075.75

If the quotient is a whole number, then 4 and 33,053,075.75 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:

1 132,212,303
-1 132,212,303
Keep dividing by the next highest number until you cannot divide anymore.

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

123311077131,7332,4613,31739,85953,72376,291185,4311,235,6294,264,9135,748,361132,212,303
-1-23-31-107-713-1,733-2,461-3,317-39,859-53,723-76,291-185,431-1,235,629-4,264,913-5,748,361-132,212,303

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