Q: What are the factor combinations of the number 43,516,187?

 A:
Positive:   1 x 4351618711 x 395601713 x 3347399113 x 385099143 x 3043091243 x 350091469 x 296232693 x 16159
Negative: -1 x -43516187-11 x -3956017-13 x -3347399-113 x -385099-143 x -304309-1243 x -35009-1469 x -29623-2693 x -16159


How do I find the factor combinations of the number 43,516,187?

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 43,516,187, 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 43,516,187
-1 -43,516,187

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 43,516,187.

Example:
1 x 43,516,187 = 43,516,187
and
-1 x -43,516,187 = 43,516,187
Notice both answers equal 43,516,187

With that explanation out of the way, let's continue. Next, we take the number 43,516,187 and divide it by 2:

43,516,187 ÷ 2 = 21,758,093.5

If the quotient is a whole number, then 2 and 21,758,093.5 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 43,516,187
-1 -43,516,187

Now, we try dividing 43,516,187 by 3:

43,516,187 ÷ 3 = 14,505,395.6667

If the quotient is a whole number, then 3 and 14,505,395.6667 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 43,516,187
-1 -43,516,187

Let's try dividing by 4:

43,516,187 ÷ 4 = 10,879,046.75

If the quotient is a whole number, then 4 and 10,879,046.75 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 43,516,187
-1 43,516,187
Keep dividing by the next highest number until you cannot divide anymore.

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

111131131431,2431,4692,69316,15929,62335,009304,309385,0993,347,3993,956,01743,516,187
-1-11-13-113-143-1,243-1,469-2,693-16,159-29,623-35,009-304,309-385,099-3,347,399-3,956,017-43,516,187

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