Q: What are the factor combinations of the number 724,308,613?

 A:
Positive:   1 x 7243086137 x 10347265917 x 42606389119 x 6086627619 x 11701274333 x 1671619833 x 7366110523 x 68831
Negative: -1 x -724308613-7 x -103472659-17 x -42606389-119 x -6086627-619 x -1170127-4333 x -167161-9833 x -73661-10523 x -68831


How do I find the factor combinations of the number 724,308,613?

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 724,308,613, 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.

1 724,308,613
-1 -724,308,613

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 724,308,613.

Example:
1 x 724,308,613 = 724,308,613
and
-1 x -724,308,613 = 724,308,613
Notice both answers equal 724,308,613

With that explanation out of the way, let's continue. Next, we take the number 724,308,613 and divide it by 2:

724,308,613 ÷ 2 = 362,154,306.5

If the quotient is a whole number, then 2 and 362,154,306.5 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:

1 724,308,613
-1 -724,308,613

Now, we try dividing 724,308,613 by 3:

724,308,613 ÷ 3 = 241,436,204.3333

If the quotient is a whole number, then 3 and 241,436,204.3333 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:

1 724,308,613
-1 -724,308,613

Let's try dividing by 4:

724,308,613 ÷ 4 = 181,077,153.25

If the quotient is a whole number, then 4 and 181,077,153.25 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:

1 724,308,613
-1 724,308,613
Keep dividing by the next highest number until you cannot divide anymore.

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

17171196194,3339,83310,52368,83173,661167,1611,170,1276,086,62742,606,389103,472,659724,308,613
-1-7-17-119-619-4,333-9,833-10,523-68,831-73,661-167,161-1,170,127-6,086,627-42,606,389-103,472,659-724,308,613

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