Q: What are the factor combinations of the number 32,361,013?

 A:
Positive:   1 x 3236101317 x 190358929 x 111589741 x 789293493 x 65641697 x 464291189 x 272171601 x 20213
Negative: -1 x -32361013-17 x -1903589-29 x -1115897-41 x -789293-493 x -65641-697 x -46429-1189 x -27217-1601 x -20213


How do I find the factor combinations of the number 32,361,013?

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 32,361,013, 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 32,361,013
-1 -32,361,013

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 32,361,013.

Example:
1 x 32,361,013 = 32,361,013
and
-1 x -32,361,013 = 32,361,013
Notice both answers equal 32,361,013

With that explanation out of the way, let's continue. Next, we take the number 32,361,013 and divide it by 2:

32,361,013 ÷ 2 = 16,180,506.5

If the quotient is a whole number, then 2 and 16,180,506.5 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 32,361,013
-1 -32,361,013

Now, we try dividing 32,361,013 by 3:

32,361,013 ÷ 3 = 10,787,004.3333

If the quotient is a whole number, then 3 and 10,787,004.3333 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 32,361,013
-1 -32,361,013

Let's try dividing by 4:

32,361,013 ÷ 4 = 8,090,253.25

If the quotient is a whole number, then 4 and 8,090,253.25 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 32,361,013
-1 32,361,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11729414936971,1891,60120,21327,21746,42965,641789,2931,115,8971,903,58932,361,013
-1-17-29-41-493-697-1,189-1,601-20,213-27,217-46,429-65,641-789,293-1,115,897-1,903,589-32,361,013

More Examples

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