Q: What are the factor combinations of the number 32,149,843?

 A:
Positive:   1 x 3214984311 x 292271319 x 1692097199 x 161557209 x 153827773 x 415912189 x 146873781 x 8503
Negative: -1 x -32149843-11 x -2922713-19 x -1692097-199 x -161557-209 x -153827-773 x -41591-2189 x -14687-3781 x -8503


How do I find the factor combinations of the number 32,149,843?

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 32,149,843, 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 32,149,843
-1 -32,149,843

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 32,149,843.

Example:
1 x 32,149,843 = 32,149,843
and
-1 x -32,149,843 = 32,149,843
Notice both answers equal 32,149,843

With that explanation out of the way, let's continue. Next, we take the number 32,149,843 and divide it by 2:

32,149,843 ÷ 2 = 16,074,921.5

If the quotient is a whole number, then 2 and 16,074,921.5 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 32,149,843
-1 -32,149,843

Now, we try dividing 32,149,843 by 3:

32,149,843 ÷ 3 = 10,716,614.3333

If the quotient is a whole number, then 3 and 10,716,614.3333 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 32,149,843
-1 -32,149,843

Let's try dividing by 4:

32,149,843 ÷ 4 = 8,037,460.75

If the quotient is a whole number, then 4 and 8,037,460.75 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 32,149,843
-1 32,149,843
Keep dividing by the next highest number until you cannot divide anymore.

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

111191992097732,1893,7818,50314,68741,591153,827161,5571,692,0972,922,71332,149,843
-1-11-19-199-209-773-2,189-3,781-8,503-14,687-41,591-153,827-161,557-1,692,097-2,922,713-32,149,843

More Examples

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