Q: What are the factor combinations of the number 124,210,135?

 A:
Positive:   1 x 1242101355 x 248420277 x 1774430535 x 35488611493 x 831952377 x 522557465 x 1663910451 x 11885
Negative: -1 x -124210135-5 x -24842027-7 x -17744305-35 x -3548861-1493 x -83195-2377 x -52255-7465 x -16639-10451 x -11885


How do I find the factor combinations of the number 124,210,135?

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 124,210,135, 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.

1 124,210,135
-1 -124,210,135

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 124,210,135.

Example:
1 x 124,210,135 = 124,210,135
and
-1 x -124,210,135 = 124,210,135
Notice both answers equal 124,210,135

With that explanation out of the way, let's continue. Next, we take the number 124,210,135 and divide it by 2:

124,210,135 ÷ 2 = 62,105,067.5

If the quotient is a whole number, then 2 and 62,105,067.5 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:

1 124,210,135
-1 -124,210,135

Now, we try dividing 124,210,135 by 3:

124,210,135 ÷ 3 = 41,403,378.3333

If the quotient is a whole number, then 3 and 41,403,378.3333 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:

1 124,210,135
-1 -124,210,135

Let's try dividing by 4:

124,210,135 ÷ 4 = 31,052,533.75

If the quotient is a whole number, then 4 and 31,052,533.75 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:

1 124,210,135
-1 124,210,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,4932,3777,46510,45111,88516,63952,25583,1953,548,86117,744,30524,842,027124,210,135
-1-5-7-35-1,493-2,377-7,465-10,451-11,885-16,639-52,255-83,195-3,548,861-17,744,305-24,842,027-124,210,135

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