Q: What are the factor combinations of the number 44,551?

 A:
Positive:   1 x 4455113 x 342723 x 1937149 x 299
Negative: -1 x -44551-13 x -3427-23 x -1937-149 x -299


How do I find the factor combinations of the number 44,551?

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 44,551, 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 44,551
-1 -44,551

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 44,551.

Example:
1 x 44,551 = 44,551
and
-1 x -44,551 = 44,551
Notice both answers equal 44,551

With that explanation out of the way, let's continue. Next, we take the number 44,551 and divide it by 2:

44,551 ÷ 2 = 22,275.5

If the quotient is a whole number, then 2 and 22,275.5 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 44,551
-1 -44,551

Now, we try dividing 44,551 by 3:

44,551 ÷ 3 = 14,850.3333

If the quotient is a whole number, then 3 and 14,850.3333 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 44,551
-1 -44,551

Let's try dividing by 4:

44,551 ÷ 4 = 11,137.75

If the quotient is a whole number, then 4 and 11,137.75 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 44,551
-1 44,551
Keep dividing by the next highest number until you cannot divide anymore.

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

113231492991,9373,42744,551
-1-13-23-149-299-1,937-3,427-44,551

More Examples

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