Q: What are the factor combinations of the number 108,022,453?

 A:
Positive:   1 x 1080224537 x 1543177911 x 982022371 x 152144377 x 1402889497 x 217349781 x 1383135467 x 19759
Negative: -1 x -108022453-7 x -15431779-11 x -9820223-71 x -1521443-77 x -1402889-497 x -217349-781 x -138313-5467 x -19759


How do I find the factor combinations of the number 108,022,453?

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 108,022,453, 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.

1 108,022,453
-1 -108,022,453

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 108,022,453.

Example:
1 x 108,022,453 = 108,022,453
and
-1 x -108,022,453 = 108,022,453
Notice both answers equal 108,022,453

With that explanation out of the way, let's continue. Next, we take the number 108,022,453 and divide it by 2:

108,022,453 ÷ 2 = 54,011,226.5

If the quotient is a whole number, then 2 and 54,011,226.5 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:

1 108,022,453
-1 -108,022,453

Now, we try dividing 108,022,453 by 3:

108,022,453 ÷ 3 = 36,007,484.3333

If the quotient is a whole number, then 3 and 36,007,484.3333 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:

1 108,022,453
-1 -108,022,453

Let's try dividing by 4:

108,022,453 ÷ 4 = 27,005,613.25

If the quotient is a whole number, then 4 and 27,005,613.25 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:

1 108,022,453
-1 108,022,453
Keep dividing by the next highest number until you cannot divide anymore.

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

171171774977815,46719,759138,313217,3491,402,8891,521,4439,820,22315,431,779108,022,453
-1-7-11-71-77-497-781-5,467-19,759-138,313-217,349-1,402,889-1,521,443-9,820,223-15,431,779-108,022,453

More Examples

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