Q: What are the factor combinations of the number 733,663?

 A:
Positive:   1 x 7336637 x 104809163 x 4501643 x 1141
Negative: -1 x -733663-7 x -104809-163 x -4501-643 x -1141


How do I find the factor combinations of the number 733,663?

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 733,663, 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.

1 733,663
-1 -733,663

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 733,663.

Example:
1 x 733,663 = 733,663
and
-1 x -733,663 = 733,663
Notice both answers equal 733,663

With that explanation out of the way, let's continue. Next, we take the number 733,663 and divide it by 2:

733,663 ÷ 2 = 366,831.5

If the quotient is a whole number, then 2 and 366,831.5 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:

1 733,663
-1 -733,663

Now, we try dividing 733,663 by 3:

733,663 ÷ 3 = 244,554.3333

If the quotient is a whole number, then 3 and 244,554.3333 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:

1 733,663
-1 -733,663

Let's try dividing by 4:

733,663 ÷ 4 = 183,415.75

If the quotient is a whole number, then 4 and 183,415.75 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:

1 733,663
-1 733,663
Keep dividing by the next highest number until you cannot divide anymore.

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

171636431,1414,501104,809733,663
-1-7-163-643-1,141-4,501-104,809-733,663

More Examples

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