Q: What are the factor combinations of the number 124,775?

 A:
Positive:   1 x 1247755 x 249557 x 1782523 x 542525 x 499131 x 402535 x 3565115 x 1085155 x 805161 x 775175 x 713217 x 575
Negative: -1 x -124775-5 x -24955-7 x -17825-23 x -5425-25 x -4991-31 x -4025-35 x -3565-115 x -1085-155 x -805-161 x -775-175 x -713-217 x -575


How do I find the factor combinations of the number 124,775?

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 124,775, 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.

1 124,775
-1 -124,775

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 124,775.

Example:
1 x 124,775 = 124,775
and
-1 x -124,775 = 124,775
Notice both answers equal 124,775

With that explanation out of the way, let's continue. Next, we take the number 124,775 and divide it by 2:

124,775 ÷ 2 = 62,387.5

If the quotient is a whole number, then 2 and 62,387.5 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:

1 124,775
-1 -124,775

Now, we try dividing 124,775 by 3:

124,775 ÷ 3 = 41,591.6667

If the quotient is a whole number, then 3 and 41,591.6667 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:

1 124,775
-1 -124,775

Let's try dividing by 4:

124,775 ÷ 4 = 31,193.75

If the quotient is a whole number, then 4 and 31,193.75 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:

1 124,775
-1 124,775
Keep dividing by the next highest number until you cannot divide anymore.

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

157232531351151551611752175757137758051,0853,5654,0254,9915,42517,82524,955124,775
-1-5-7-23-25-31-35-115-155-161-175-217-575-713-775-805-1,085-3,565-4,025-4,991-5,425-17,825-24,955-124,775

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