Q: What are the factor combinations of the number 120,244,295?

 A:
Positive:   1 x 1202442955 x 2404885929 x 4146355145 x 829271439 x 2739051889 x 636552195 x 547819445 x 12731
Negative: -1 x -120244295-5 x -24048859-29 x -4146355-145 x -829271-439 x -273905-1889 x -63655-2195 x -54781-9445 x -12731


How do I find the factor combinations of the number 120,244,295?

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 120,244,295, 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.

1 120,244,295
-1 -120,244,295

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 120,244,295.

Example:
1 x 120,244,295 = 120,244,295
and
-1 x -120,244,295 = 120,244,295
Notice both answers equal 120,244,295

With that explanation out of the way, let's continue. Next, we take the number 120,244,295 and divide it by 2:

120,244,295 ÷ 2 = 60,122,147.5

If the quotient is a whole number, then 2 and 60,122,147.5 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:

1 120,244,295
-1 -120,244,295

Now, we try dividing 120,244,295 by 3:

120,244,295 ÷ 3 = 40,081,431.6667

If the quotient is a whole number, then 3 and 40,081,431.6667 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:

1 120,244,295
-1 -120,244,295

Let's try dividing by 4:

120,244,295 ÷ 4 = 30,061,073.75

If the quotient is a whole number, then 4 and 30,061,073.75 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:

1 120,244,295
-1 120,244,295
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454391,8892,1959,44512,73154,78163,655273,905829,2714,146,35524,048,859120,244,295
-1-5-29-145-439-1,889-2,195-9,445-12,731-54,781-63,655-273,905-829,271-4,146,355-24,048,859-120,244,295

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