Q: What are the factor combinations of the number 747,383,867?

 A:
Positive:   1 x 74738386719 x 3933599331 x 24109157589 x 12689031069 x 6991431187 x 62964120311 x 3679722553 x 33139
Negative: -1 x -747383867-19 x -39335993-31 x -24109157-589 x -1268903-1069 x -699143-1187 x -629641-20311 x -36797-22553 x -33139


How do I find the factor combinations of the number 747,383,867?

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 747,383,867, 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.

1 747,383,867
-1 -747,383,867

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 747,383,867.

Example:
1 x 747,383,867 = 747,383,867
and
-1 x -747,383,867 = 747,383,867
Notice both answers equal 747,383,867

With that explanation out of the way, let's continue. Next, we take the number 747,383,867 and divide it by 2:

747,383,867 ÷ 2 = 373,691,933.5

If the quotient is a whole number, then 2 and 373,691,933.5 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:

1 747,383,867
-1 -747,383,867

Now, we try dividing 747,383,867 by 3:

747,383,867 ÷ 3 = 249,127,955.6667

If the quotient is a whole number, then 3 and 249,127,955.6667 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:

1 747,383,867
-1 -747,383,867

Let's try dividing by 4:

747,383,867 ÷ 4 = 186,845,966.75

If the quotient is a whole number, then 4 and 186,845,966.75 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:

1 747,383,867
-1 747,383,867
Keep dividing by the next highest number until you cannot divide anymore.

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

119315891,0691,18720,31122,55333,13936,797629,641699,1431,268,90324,109,15739,335,993747,383,867
-1-19-31-589-1,069-1,187-20,311-22,553-33,139-36,797-629,641-699,143-1,268,903-24,109,157-39,335,993-747,383,867

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