Q: What are the factor combinations of the number 111,115,015?

 A:
Positive:   1 x 1111150155 x 2222300311 x 1010136555 x 2020273829 x 1340352437 x 455954145 x 268079119 x 12185
Negative: -1 x -111115015-5 x -22223003-11 x -10101365-55 x -2020273-829 x -134035-2437 x -45595-4145 x -26807-9119 x -12185


How do I find the factor combinations of the number 111,115,015?

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 111,115,015, 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.

1 111,115,015
-1 -111,115,015

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 111,115,015.

Example:
1 x 111,115,015 = 111,115,015
and
-1 x -111,115,015 = 111,115,015
Notice both answers equal 111,115,015

With that explanation out of the way, let's continue. Next, we take the number 111,115,015 and divide it by 2:

111,115,015 ÷ 2 = 55,557,507.5

If the quotient is a whole number, then 2 and 55,557,507.5 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:

1 111,115,015
-1 -111,115,015

Now, we try dividing 111,115,015 by 3:

111,115,015 ÷ 3 = 37,038,338.3333

If the quotient is a whole number, then 3 and 37,038,338.3333 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:

1 111,115,015
-1 -111,115,015

Let's try dividing by 4:

111,115,015 ÷ 4 = 27,778,753.75

If the quotient is a whole number, then 4 and 27,778,753.75 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:

1 111,115,015
-1 111,115,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558292,4374,1459,11912,18526,80745,595134,0352,020,27310,101,36522,223,003111,115,015
-1-5-11-55-829-2,437-4,145-9,119-12,185-26,807-45,595-134,035-2,020,273-10,101,365-22,223,003-111,115,015

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