Q: What are the factor combinations of the number 750,799?

 A:
Positive:   1 x 7507997 x 107257283 x 2653379 x 1981
Negative: -1 x -750799-7 x -107257-283 x -2653-379 x -1981


How do I find the factor combinations of the number 750,799?

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 750,799, 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.

1 750,799
-1 -750,799

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 750,799.

Example:
1 x 750,799 = 750,799
and
-1 x -750,799 = 750,799
Notice both answers equal 750,799

With that explanation out of the way, let's continue. Next, we take the number 750,799 and divide it by 2:

750,799 ÷ 2 = 375,399.5

If the quotient is a whole number, then 2 and 375,399.5 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:

1 750,799
-1 -750,799

Now, we try dividing 750,799 by 3:

750,799 ÷ 3 = 250,266.3333

If the quotient is a whole number, then 3 and 250,266.3333 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:

1 750,799
-1 -750,799

Let's try dividing by 4:

750,799 ÷ 4 = 187,699.75

If the quotient is a whole number, then 4 and 187,699.75 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:

1 750,799
-1 750,799
Keep dividing by the next highest number until you cannot divide anymore.

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

172833791,9812,653107,257750,799
-1-7-283-379-1,981-2,653-107,257-750,799

More Examples

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