Q: What are the factor combinations of the number 124,200,131?

 A:
Positive:   1 x 12420013111 x 1129092119 x 6536849209 x 594259673 x 184547883 x 1406577403 x 167779713 x 12787
Negative: -1 x -124200131-11 x -11290921-19 x -6536849-209 x -594259-673 x -184547-883 x -140657-7403 x -16777-9713 x -12787


How do I find the factor combinations of the number 124,200,131?

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 124,200,131, 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.

1 124,200,131
-1 -124,200,131

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 124,200,131.

Example:
1 x 124,200,131 = 124,200,131
and
-1 x -124,200,131 = 124,200,131
Notice both answers equal 124,200,131

With that explanation out of the way, let's continue. Next, we take the number 124,200,131 and divide it by 2:

124,200,131 ÷ 2 = 62,100,065.5

If the quotient is a whole number, then 2 and 62,100,065.5 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:

1 124,200,131
-1 -124,200,131

Now, we try dividing 124,200,131 by 3:

124,200,131 ÷ 3 = 41,400,043.6667

If the quotient is a whole number, then 3 and 41,400,043.6667 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:

1 124,200,131
-1 -124,200,131

Let's try dividing by 4:

124,200,131 ÷ 4 = 31,050,032.75

If the quotient is a whole number, then 4 and 31,050,032.75 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:

1 124,200,131
-1 124,200,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111192096738837,4039,71312,78716,777140,657184,547594,2596,536,84911,290,921124,200,131
-1-11-19-209-673-883-7,403-9,713-12,787-16,777-140,657-184,547-594,259-6,536,849-11,290,921-124,200,131

More Examples

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