Q: What are the factor combinations of the number 120,505,063?

 A:
Positive:   1 x 1205050637 x 1721500929 x 415534749 x 2459287137 x 879599203 x 593621619 x 194677959 x 1256571421 x 848033973 x 303314333 x 278116713 x 17951
Negative: -1 x -120505063-7 x -17215009-29 x -4155347-49 x -2459287-137 x -879599-203 x -593621-619 x -194677-959 x -125657-1421 x -84803-3973 x -30331-4333 x -27811-6713 x -17951


How do I find the factor combinations of the number 120,505,063?

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 120,505,063, 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.

1 120,505,063
-1 -120,505,063

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 120,505,063.

Example:
1 x 120,505,063 = 120,505,063
and
-1 x -120,505,063 = 120,505,063
Notice both answers equal 120,505,063

With that explanation out of the way, let's continue. Next, we take the number 120,505,063 and divide it by 2:

120,505,063 ÷ 2 = 60,252,531.5

If the quotient is a whole number, then 2 and 60,252,531.5 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:

1 120,505,063
-1 -120,505,063

Now, we try dividing 120,505,063 by 3:

120,505,063 ÷ 3 = 40,168,354.3333

If the quotient is a whole number, then 3 and 40,168,354.3333 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:

1 120,505,063
-1 -120,505,063

Let's try dividing by 4:

120,505,063 ÷ 4 = 30,126,265.75

If the quotient is a whole number, then 4 and 30,126,265.75 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:

1 120,505,063
-1 120,505,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1729491372036199591,4213,9734,3336,71317,95127,81130,33184,803125,657194,677593,621879,5992,459,2874,155,34717,215,009120,505,063
-1-7-29-49-137-203-619-959-1,421-3,973-4,333-6,713-17,951-27,811-30,331-84,803-125,657-194,677-593,621-879,599-2,459,287-4,155,347-17,215,009-120,505,063

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