Q: What are the factor combinations of the number 120,140,125?

 A:
Positive:   1 x 1201401255 x 240280257 x 1716287525 x 480560535 x 3432575125 x 961121175 x 686515875 x 137303
Negative: -1 x -120140125-5 x -24028025-7 x -17162875-25 x -4805605-35 x -3432575-125 x -961121-175 x -686515-875 x -137303


How do I find the factor combinations of the number 120,140,125?

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 120,140,125, 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.

1 120,140,125
-1 -120,140,125

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 120,140,125.

Example:
1 x 120,140,125 = 120,140,125
and
-1 x -120,140,125 = 120,140,125
Notice both answers equal 120,140,125

With that explanation out of the way, let's continue. Next, we take the number 120,140,125 and divide it by 2:

120,140,125 ÷ 2 = 60,070,062.5

If the quotient is a whole number, then 2 and 60,070,062.5 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:

1 120,140,125
-1 -120,140,125

Now, we try dividing 120,140,125 by 3:

120,140,125 ÷ 3 = 40,046,708.3333

If the quotient is a whole number, then 3 and 40,046,708.3333 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:

1 120,140,125
-1 -120,140,125

Let's try dividing by 4:

120,140,125 ÷ 4 = 30,035,031.25

If the quotient is a whole number, then 4 and 30,035,031.25 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:

1 120,140,125
-1 120,140,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875137,303686,515961,1213,432,5754,805,60517,162,87524,028,025120,140,125
-1-5-7-25-35-125-175-875-137,303-686,515-961,121-3,432,575-4,805,605-17,162,875-24,028,025-120,140,125

More Examples

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