Q: What are the factor combinations of the number 100,832,831?

 A:
Positive:   1 x 10083283111 x 916662117 x 5931343187 x 539213523 x 1927971031 x 978015753 x 175278891 x 11341
Negative: -1 x -100832831-11 x -9166621-17 x -5931343-187 x -539213-523 x -192797-1031 x -97801-5753 x -17527-8891 x -11341


How do I find the factor combinations of the number 100,832,831?

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 100,832,831, 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.

1 100,832,831
-1 -100,832,831

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 100,832,831.

Example:
1 x 100,832,831 = 100,832,831
and
-1 x -100,832,831 = 100,832,831
Notice both answers equal 100,832,831

With that explanation out of the way, let's continue. Next, we take the number 100,832,831 and divide it by 2:

100,832,831 ÷ 2 = 50,416,415.5

If the quotient is a whole number, then 2 and 50,416,415.5 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:

1 100,832,831
-1 -100,832,831

Now, we try dividing 100,832,831 by 3:

100,832,831 ÷ 3 = 33,610,943.6667

If the quotient is a whole number, then 3 and 33,610,943.6667 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:

1 100,832,831
-1 -100,832,831

Let's try dividing by 4:

100,832,831 ÷ 4 = 25,208,207.75

If the quotient is a whole number, then 4 and 25,208,207.75 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:

1 100,832,831
-1 100,832,831
Keep dividing by the next highest number until you cannot divide anymore.

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

111171875231,0315,7538,89111,34117,52797,801192,797539,2135,931,3439,166,621100,832,831
-1-11-17-187-523-1,031-5,753-8,891-11,341-17,527-97,801-192,797-539,213-5,931,343-9,166,621-100,832,831

More Examples

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