Q: What are the factor combinations of the number 119,837,125?

 A:
Positive:   1 x 1198371255 x 2396742525 x 4793485125 x 958697277 x 4326251385 x 865253461 x 346256925 x 17305
Negative: -1 x -119837125-5 x -23967425-25 x -4793485-125 x -958697-277 x -432625-1385 x -86525-3461 x -34625-6925 x -17305


How do I find the factor combinations of the number 119,837,125?

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 119,837,125, 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.

1 119,837,125
-1 -119,837,125

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 119,837,125.

Example:
1 x 119,837,125 = 119,837,125
and
-1 x -119,837,125 = 119,837,125
Notice both answers equal 119,837,125

With that explanation out of the way, let's continue. Next, we take the number 119,837,125 and divide it by 2:

119,837,125 ÷ 2 = 59,918,562.5

If the quotient is a whole number, then 2 and 59,918,562.5 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:

1 119,837,125
-1 -119,837,125

Now, we try dividing 119,837,125 by 3:

119,837,125 ÷ 3 = 39,945,708.3333

If the quotient is a whole number, then 3 and 39,945,708.3333 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:

1 119,837,125
-1 -119,837,125

Let's try dividing by 4:

119,837,125 ÷ 4 = 29,959,281.25

If the quotient is a whole number, then 4 and 29,959,281.25 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:

1 119,837,125
-1 119,837,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252771,3853,4616,92517,30534,62586,525432,625958,6974,793,48523,967,425119,837,125
-1-5-25-125-277-1,385-3,461-6,925-17,305-34,625-86,525-432,625-958,697-4,793,485-23,967,425-119,837,125

More Examples

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