Q: What are the factor combinations of the number 132,315,335?

 A:
Positive:   1 x 1323153355 x 2646306717 x 778325519 x 696396585 x 155665195 x 1392793323 x 4096451615 x 81929
Negative: -1 x -132315335-5 x -26463067-17 x -7783255-19 x -6963965-85 x -1556651-95 x -1392793-323 x -409645-1615 x -81929


How do I find the factor combinations of the number 132,315,335?

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 132,315,335, 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.

1 132,315,335
-1 -132,315,335

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 132,315,335.

Example:
1 x 132,315,335 = 132,315,335
and
-1 x -132,315,335 = 132,315,335
Notice both answers equal 132,315,335

With that explanation out of the way, let's continue. Next, we take the number 132,315,335 and divide it by 2:

132,315,335 ÷ 2 = 66,157,667.5

If the quotient is a whole number, then 2 and 66,157,667.5 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:

1 132,315,335
-1 -132,315,335

Now, we try dividing 132,315,335 by 3:

132,315,335 ÷ 3 = 44,105,111.6667

If the quotient is a whole number, then 3 and 44,105,111.6667 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:

1 132,315,335
-1 -132,315,335

Let's try dividing by 4:

132,315,335 ÷ 4 = 33,078,833.75

If the quotient is a whole number, then 4 and 33,078,833.75 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:

1 132,315,335
-1 132,315,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61581,929409,6451,392,7931,556,6516,963,9657,783,25526,463,067132,315,335
-1-5-17-19-85-95-323-1,615-81,929-409,645-1,392,793-1,556,651-6,963,965-7,783,255-26,463,067-132,315,335

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