Q: What are the factor combinations of the number 748,867?

 A:
Positive:   1 x 7488677 x 10698117 x 4405129 x 2582331 x 2415749 x 15283119 x 6293203 x 3689217 x 3451493 x 1519527 x 1421833 x 899
Negative: -1 x -748867-7 x -106981-17 x -44051-29 x -25823-31 x -24157-49 x -15283-119 x -6293-203 x -3689-217 x -3451-493 x -1519-527 x -1421-833 x -899


How do I find the factor combinations of the number 748,867?

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 748,867, 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.

1 748,867
-1 -748,867

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 748,867.

Example:
1 x 748,867 = 748,867
and
-1 x -748,867 = 748,867
Notice both answers equal 748,867

With that explanation out of the way, let's continue. Next, we take the number 748,867 and divide it by 2:

748,867 ÷ 2 = 374,433.5

If the quotient is a whole number, then 2 and 374,433.5 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:

1 748,867
-1 -748,867

Now, we try dividing 748,867 by 3:

748,867 ÷ 3 = 249,622.3333

If the quotient is a whole number, then 3 and 249,622.3333 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:

1 748,867
-1 -748,867

Let's try dividing by 4:

748,867 ÷ 4 = 187,216.75

If the quotient is a whole number, then 4 and 187,216.75 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:

1 748,867
-1 748,867
Keep dividing by the next highest number until you cannot divide anymore.

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

17172931491192032174935278338991,4211,5193,4513,6896,29315,28324,15725,82344,051106,981748,867
-1-7-17-29-31-49-119-203-217-493-527-833-899-1,421-1,519-3,451-3,689-6,293-15,283-24,157-25,823-44,051-106,981-748,867

More Examples

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