Q: What are the factor combinations of the number 32,362,135?

 A:
Positive:   1 x 323621355 x 647242713 x 248939517 x 190365565 x 49787985 x 380731221 x 1464351105 x 29287
Negative: -1 x -32362135-5 x -6472427-13 x -2489395-17 x -1903655-65 x -497879-85 x -380731-221 x -146435-1105 x -29287


How do I find the factor combinations of the number 32,362,135?

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 32,362,135, 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 32,362,135
-1 -32,362,135

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 32,362,135.

Example:
1 x 32,362,135 = 32,362,135
and
-1 x -32,362,135 = 32,362,135
Notice both answers equal 32,362,135

With that explanation out of the way, let's continue. Next, we take the number 32,362,135 and divide it by 2:

32,362,135 ÷ 2 = 16,181,067.5

If the quotient is a whole number, then 2 and 16,181,067.5 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 32,362,135
-1 -32,362,135

Now, we try dividing 32,362,135 by 3:

32,362,135 ÷ 3 = 10,787,378.3333

If the quotient is a whole number, then 3 and 10,787,378.3333 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 32,362,135
-1 -32,362,135

Let's try dividing by 4:

32,362,135 ÷ 4 = 8,090,533.75

If the quotient is a whole number, then 4 and 8,090,533.75 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 32,362,135
-1 32,362,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10529,287146,435380,731497,8791,903,6552,489,3956,472,42732,362,135
-1-5-13-17-65-85-221-1,105-29,287-146,435-380,731-497,879-1,903,655-2,489,395-6,472,427-32,362,135

More Examples

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