Q: What are the factor combinations of the number 49,595?

 A:
Positive:   1 x 495955 x 99197 x 708513 x 381535 x 141765 x 76391 x 545109 x 455
Negative: -1 x -49595-5 x -9919-7 x -7085-13 x -3815-35 x -1417-65 x -763-91 x -545-109 x -455


How do I find the factor combinations of the number 49,595?

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 49,595, 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 49,595
-1 -49,595

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 49,595.

Example:
1 x 49,595 = 49,595
and
-1 x -49,595 = 49,595
Notice both answers equal 49,595

With that explanation out of the way, let's continue. Next, we take the number 49,595 and divide it by 2:

49,595 ÷ 2 = 24,797.5

If the quotient is a whole number, then 2 and 24,797.5 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 49,595
-1 -49,595

Now, we try dividing 49,595 by 3:

49,595 ÷ 3 = 16,531.6667

If the quotient is a whole number, then 3 and 16,531.6667 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 49,595
-1 -49,595

Let's try dividing by 4:

49,595 ÷ 4 = 12,398.75

If the quotient is a whole number, then 4 and 12,398.75 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 49,595
-1 49,595
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911094555457631,4173,8157,0859,91949,595
-1-5-7-13-35-65-91-109-455-545-763-1,417-3,815-7,085-9,919-49,595

More Examples

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