Q: What are the factor combinations of the number 110,144,237?

 A:
Positive:   1 x 1101442377 x 1573489183 x 1327039101 x 1090537581 x 189577707 x 1557911877 x 586818383 x 13139
Negative: -1 x -110144237-7 x -15734891-83 x -1327039-101 x -1090537-581 x -189577-707 x -155791-1877 x -58681-8383 x -13139


How do I find the factor combinations of the number 110,144,237?

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 110,144,237, 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.

1 110,144,237
-1 -110,144,237

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 110,144,237.

Example:
1 x 110,144,237 = 110,144,237
and
-1 x -110,144,237 = 110,144,237
Notice both answers equal 110,144,237

With that explanation out of the way, let's continue. Next, we take the number 110,144,237 and divide it by 2:

110,144,237 ÷ 2 = 55,072,118.5

If the quotient is a whole number, then 2 and 55,072,118.5 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:

1 110,144,237
-1 -110,144,237

Now, we try dividing 110,144,237 by 3:

110,144,237 ÷ 3 = 36,714,745.6667

If the quotient is a whole number, then 3 and 36,714,745.6667 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:

1 110,144,237
-1 -110,144,237

Let's try dividing by 4:

110,144,237 ÷ 4 = 27,536,059.25

If the quotient is a whole number, then 4 and 27,536,059.25 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:

1 110,144,237
-1 110,144,237
Keep dividing by the next highest number until you cannot divide anymore.

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

17831015817071,8778,38313,13958,681155,791189,5771,090,5371,327,03915,734,891110,144,237
-1-7-83-101-581-707-1,877-8,383-13,139-58,681-155,791-189,577-1,090,537-1,327,039-15,734,891-110,144,237

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