Q: What are the factor combinations of the number 132,032,243?

 A:
Positive:   1 x 1320322437 x 1886174937 x 356843961 x 2164463137 x 963739259 x 509777427 x 309209959 x 1376772257 x 584993721 x 354835069 x 260478357 x 15799
Negative: -1 x -132032243-7 x -18861749-37 x -3568439-61 x -2164463-137 x -963739-259 x -509777-427 x -309209-959 x -137677-2257 x -58499-3721 x -35483-5069 x -26047-8357 x -15799


How do I find the factor combinations of the number 132,032,243?

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 132,032,243, 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.

1 132,032,243
-1 -132,032,243

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 132,032,243.

Example:
1 x 132,032,243 = 132,032,243
and
-1 x -132,032,243 = 132,032,243
Notice both answers equal 132,032,243

With that explanation out of the way, let's continue. Next, we take the number 132,032,243 and divide it by 2:

132,032,243 ÷ 2 = 66,016,121.5

If the quotient is a whole number, then 2 and 66,016,121.5 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:

1 132,032,243
-1 -132,032,243

Now, we try dividing 132,032,243 by 3:

132,032,243 ÷ 3 = 44,010,747.6667

If the quotient is a whole number, then 3 and 44,010,747.6667 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:

1 132,032,243
-1 -132,032,243

Let's try dividing by 4:

132,032,243 ÷ 4 = 33,008,060.75

If the quotient is a whole number, then 4 and 33,008,060.75 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:

1 132,032,243
-1 132,032,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1737611372594279592,2573,7215,0698,35715,79926,04735,48358,499137,677309,209509,777963,7392,164,4633,568,43918,861,749132,032,243
-1-7-37-61-137-259-427-959-2,257-3,721-5,069-8,357-15,799-26,047-35,483-58,499-137,677-309,209-509,777-963,739-2,164,463-3,568,439-18,861,749-132,032,243

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