Q: What are the factor combinations of the number 753,487?

 A:
Positive:   1 x 7534877 x 107641
Negative: -1 x -753487-7 x -107641


How do I find the factor combinations of the number 753,487?

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 753,487, 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.

1 753,487
-1 -753,487

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 753,487.

Example:
1 x 753,487 = 753,487
and
-1 x -753,487 = 753,487
Notice both answers equal 753,487

With that explanation out of the way, let's continue. Next, we take the number 753,487 and divide it by 2:

753,487 ÷ 2 = 376,743.5

If the quotient is a whole number, then 2 and 376,743.5 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:

1 753,487
-1 -753,487

Now, we try dividing 753,487 by 3:

753,487 ÷ 3 = 251,162.3333

If the quotient is a whole number, then 3 and 251,162.3333 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:

1 753,487
-1 -753,487

Let's try dividing by 4:

753,487 ÷ 4 = 188,371.75

If the quotient is a whole number, then 4 and 188,371.75 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:

1 753,487
-1 753,487
Keep dividing by the next highest number until you cannot divide anymore.

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

17107,641753,487
-1-7-107,641-753,487

More Examples

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