Q: What are the factor combinations of the number 43,279?

 A:
Positive:   1 x 43279113 x 383
Negative: -1 x -43279-113 x -383


How do I find the factor combinations of the number 43,279?

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 43,279, 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 43,279
-1 -43,279

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 43,279.

Example:
1 x 43,279 = 43,279
and
-1 x -43,279 = 43,279
Notice both answers equal 43,279

With that explanation out of the way, let's continue. Next, we take the number 43,279 and divide it by 2:

43,279 ÷ 2 = 21,639.5

If the quotient is a whole number, then 2 and 21,639.5 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 43,279
-1 -43,279

Now, we try dividing 43,279 by 3:

43,279 ÷ 3 = 14,426.3333

If the quotient is a whole number, then 3 and 14,426.3333 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 43,279
-1 -43,279

Let's try dividing by 4:

43,279 ÷ 4 = 10,819.75

If the quotient is a whole number, then 4 and 10,819.75 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 43,279
-1 43,279
Keep dividing by the next highest number until you cannot divide anymore.

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

111338343,279
-1-113-383-43,279

More Examples

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