Q: What are the factor combinations of the number 116,014,075?

 A:
Positive:   1 x 1160140755 x 2320281525 x 4640563317 x 3659751585 x 731957925 x 14639
Negative: -1 x -116014075-5 x -23202815-25 x -4640563-317 x -365975-1585 x -73195-7925 x -14639


How do I find the factor combinations of the number 116,014,075?

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 116,014,075, 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.

1 116,014,075
-1 -116,014,075

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 116,014,075.

Example:
1 x 116,014,075 = 116,014,075
and
-1 x -116,014,075 = 116,014,075
Notice both answers equal 116,014,075

With that explanation out of the way, let's continue. Next, we take the number 116,014,075 and divide it by 2:

116,014,075 ÷ 2 = 58,007,037.5

If the quotient is a whole number, then 2 and 58,007,037.5 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:

1 116,014,075
-1 -116,014,075

Now, we try dividing 116,014,075 by 3:

116,014,075 ÷ 3 = 38,671,358.3333

If the quotient is a whole number, then 3 and 38,671,358.3333 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:

1 116,014,075
-1 -116,014,075

Let's try dividing by 4:

116,014,075 ÷ 4 = 29,003,518.75

If the quotient is a whole number, then 4 and 29,003,518.75 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:

1 116,014,075
-1 116,014,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15253171,5857,92514,63973,195365,9754,640,56323,202,815116,014,075
-1-5-25-317-1,585-7,925-14,639-73,195-365,975-4,640,563-23,202,815-116,014,075

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