Q: What are the factor combinations of the number 104,442,131?

 A:
Positive:   1 x 10444213131 x 336910147 x 222217397 x 1076723739 x 1413291457 x 716833007 x 347334559 x 22909
Negative: -1 x -104442131-31 x -3369101-47 x -2222173-97 x -1076723-739 x -141329-1457 x -71683-3007 x -34733-4559 x -22909


How do I find the factor combinations of the number 104,442,131?

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 104,442,131, 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.

1 104,442,131
-1 -104,442,131

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 104,442,131.

Example:
1 x 104,442,131 = 104,442,131
and
-1 x -104,442,131 = 104,442,131
Notice both answers equal 104,442,131

With that explanation out of the way, let's continue. Next, we take the number 104,442,131 and divide it by 2:

104,442,131 ÷ 2 = 52,221,065.5

If the quotient is a whole number, then 2 and 52,221,065.5 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:

1 104,442,131
-1 -104,442,131

Now, we try dividing 104,442,131 by 3:

104,442,131 ÷ 3 = 34,814,043.6667

If the quotient is a whole number, then 3 and 34,814,043.6667 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:

1 104,442,131
-1 -104,442,131

Let's try dividing by 4:

104,442,131 ÷ 4 = 26,110,532.75

If the quotient is a whole number, then 4 and 26,110,532.75 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:

1 104,442,131
-1 104,442,131
Keep dividing by the next highest number until you cannot divide anymore.

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

13147977391,4573,0074,55922,90934,73371,683141,3291,076,7232,222,1733,369,101104,442,131
-1-31-47-97-739-1,457-3,007-4,559-22,909-34,733-71,683-141,329-1,076,723-2,222,173-3,369,101-104,442,131

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