Q: What are the factor combinations of the number 32,662,231?

 A:
Positive:   1 x 326622317 x 466603323 x 142009737 x 882763161 x 202871259 x 126109851 x 383815483 x 5957
Negative: -1 x -32662231-7 x -4666033-23 x -1420097-37 x -882763-161 x -202871-259 x -126109-851 x -38381-5483 x -5957


How do I find the factor combinations of the number 32,662,231?

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 32,662,231, 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 32,662,231
-1 -32,662,231

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 32,662,231.

Example:
1 x 32,662,231 = 32,662,231
and
-1 x -32,662,231 = 32,662,231
Notice both answers equal 32,662,231

With that explanation out of the way, let's continue. Next, we take the number 32,662,231 and divide it by 2:

32,662,231 ÷ 2 = 16,331,115.5

If the quotient is a whole number, then 2 and 16,331,115.5 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 32,662,231
-1 -32,662,231

Now, we try dividing 32,662,231 by 3:

32,662,231 ÷ 3 = 10,887,410.3333

If the quotient is a whole number, then 3 and 10,887,410.3333 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 32,662,231
-1 -32,662,231

Let's try dividing by 4:

32,662,231 ÷ 4 = 8,165,557.75

If the quotient is a whole number, then 4 and 8,165,557.75 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 32,662,231
-1 32,662,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1723371612598515,4835,95738,381126,109202,871882,7631,420,0974,666,03332,662,231
-1-7-23-37-161-259-851-5,483-5,957-38,381-126,109-202,871-882,763-1,420,097-4,666,033-32,662,231

More Examples

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