Q: What are the factor combinations of the number 768,558,007?

 A:
Positive:   1 x 7685580077 x 109794001
Negative: -1 x -768558007-7 x -109794001


How do I find the factor combinations of the number 768,558,007?

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 768,558,007, 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.

1 768,558,007
-1 -768,558,007

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 768,558,007.

Example:
1 x 768,558,007 = 768,558,007
and
-1 x -768,558,007 = 768,558,007
Notice both answers equal 768,558,007

With that explanation out of the way, let's continue. Next, we take the number 768,558,007 and divide it by 2:

768,558,007 ÷ 2 = 384,279,003.5

If the quotient is a whole number, then 2 and 384,279,003.5 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:

1 768,558,007
-1 -768,558,007

Now, we try dividing 768,558,007 by 3:

768,558,007 ÷ 3 = 256,186,002.3333

If the quotient is a whole number, then 3 and 256,186,002.3333 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:

1 768,558,007
-1 -768,558,007

Let's try dividing by 4:

768,558,007 ÷ 4 = 192,139,501.75

If the quotient is a whole number, then 4 and 192,139,501.75 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:

1 768,558,007
-1 768,558,007
Keep dividing by the next highest number until you cannot divide anymore.

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

17109,794,001768,558,007
-1-7-109,794,001-768,558,007

More Examples

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