Q: What are the factor combinations of the number 32,382,569?

 A:
Positive:   1 x 3238256917 x 190485731 x 104459943 x 753083527 x 61447731 x 442991333 x 242931429 x 22661
Negative: -1 x -32382569-17 x -1904857-31 x -1044599-43 x -753083-527 x -61447-731 x -44299-1333 x -24293-1429 x -22661


How do I find the factor combinations of the number 32,382,569?

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 32,382,569, 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 32,382,569
-1 -32,382,569

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 32,382,569.

Example:
1 x 32,382,569 = 32,382,569
and
-1 x -32,382,569 = 32,382,569
Notice both answers equal 32,382,569

With that explanation out of the way, let's continue. Next, we take the number 32,382,569 and divide it by 2:

32,382,569 ÷ 2 = 16,191,284.5

If the quotient is a whole number, then 2 and 16,191,284.5 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 32,382,569
-1 -32,382,569

Now, we try dividing 32,382,569 by 3:

32,382,569 ÷ 3 = 10,794,189.6667

If the quotient is a whole number, then 3 and 10,794,189.6667 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 32,382,569
-1 -32,382,569

Let's try dividing by 4:

32,382,569 ÷ 4 = 8,095,642.25

If the quotient is a whole number, then 4 and 8,095,642.25 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 32,382,569
-1 32,382,569
Keep dividing by the next highest number until you cannot divide anymore.

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

11731435277311,3331,42922,66124,29344,29961,447753,0831,044,5991,904,85732,382,569
-1-17-31-43-527-731-1,333-1,429-22,661-24,293-44,299-61,447-753,083-1,044,599-1,904,857-32,382,569

More Examples

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