Q: What are the factor combinations of the number 110,133,329?

 A:
Positive:   1 x 11013332919 x 579649129 x 3797701101 x 1090429551 x 1998791919 x 573911979 x 556512929 x 37601
Negative: -1 x -110133329-19 x -5796491-29 x -3797701-101 x -1090429-551 x -199879-1919 x -57391-1979 x -55651-2929 x -37601


How do I find the factor combinations of the number 110,133,329?

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 110,133,329, 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.

1 110,133,329
-1 -110,133,329

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 110,133,329.

Example:
1 x 110,133,329 = 110,133,329
and
-1 x -110,133,329 = 110,133,329
Notice both answers equal 110,133,329

With that explanation out of the way, let's continue. Next, we take the number 110,133,329 and divide it by 2:

110,133,329 ÷ 2 = 55,066,664.5

If the quotient is a whole number, then 2 and 55,066,664.5 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:

1 110,133,329
-1 -110,133,329

Now, we try dividing 110,133,329 by 3:

110,133,329 ÷ 3 = 36,711,109.6667

If the quotient is a whole number, then 3 and 36,711,109.6667 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:

1 110,133,329
-1 -110,133,329

Let's try dividing by 4:

110,133,329 ÷ 4 = 27,533,332.25

If the quotient is a whole number, then 4 and 27,533,332.25 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:

1 110,133,329
-1 110,133,329
Keep dividing by the next highest number until you cannot divide anymore.

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

119291015511,9191,9792,92937,60155,65157,391199,8791,090,4293,797,7015,796,491110,133,329
-1-19-29-101-551-1,919-1,979-2,929-37,601-55,651-57,391-199,879-1,090,429-3,797,701-5,796,491-110,133,329

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