Q: What are the factor combinations of the number 106,330,427?

 A:
Positive:   1 x 1063304277 x 1519006117 x 6254731119 x 893533389 x 2733432297 x 462912723 x 390496613 x 16079
Negative: -1 x -106330427-7 x -15190061-17 x -6254731-119 x -893533-389 x -273343-2297 x -46291-2723 x -39049-6613 x -16079


How do I find the factor combinations of the number 106,330,427?

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 106,330,427, 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.

1 106,330,427
-1 -106,330,427

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 106,330,427.

Example:
1 x 106,330,427 = 106,330,427
and
-1 x -106,330,427 = 106,330,427
Notice both answers equal 106,330,427

With that explanation out of the way, let's continue. Next, we take the number 106,330,427 and divide it by 2:

106,330,427 ÷ 2 = 53,165,213.5

If the quotient is a whole number, then 2 and 53,165,213.5 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:

1 106,330,427
-1 -106,330,427

Now, we try dividing 106,330,427 by 3:

106,330,427 ÷ 3 = 35,443,475.6667

If the quotient is a whole number, then 3 and 35,443,475.6667 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:

1 106,330,427
-1 -106,330,427

Let's try dividing by 4:

106,330,427 ÷ 4 = 26,582,606.75

If the quotient is a whole number, then 4 and 26,582,606.75 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:

1 106,330,427
-1 106,330,427
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193892,2972,7236,61316,07939,04946,291273,343893,5336,254,73115,190,061106,330,427
-1-7-17-119-389-2,297-2,723-6,613-16,079-39,049-46,291-273,343-893,533-6,254,731-15,190,061-106,330,427

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