Q: What are the factor combinations of the number 111,011,425?

 A:
Positive:   1 x 1110114255 x 222022857 x 1585877525 x 444045735 x 3171755151 x 735175175 x 634351755 x 1470351057 x 1050253775 x 294074201 x 264255285 x 21005
Negative: -1 x -111011425-5 x -22202285-7 x -15858775-25 x -4440457-35 x -3171755-151 x -735175-175 x -634351-755 x -147035-1057 x -105025-3775 x -29407-4201 x -26425-5285 x -21005


How do I find the factor combinations of the number 111,011,425?

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 111,011,425, 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.

1 111,011,425
-1 -111,011,425

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 111,011,425.

Example:
1 x 111,011,425 = 111,011,425
and
-1 x -111,011,425 = 111,011,425
Notice both answers equal 111,011,425

With that explanation out of the way, let's continue. Next, we take the number 111,011,425 and divide it by 2:

111,011,425 ÷ 2 = 55,505,712.5

If the quotient is a whole number, then 2 and 55,505,712.5 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:

1 111,011,425
-1 -111,011,425

Now, we try dividing 111,011,425 by 3:

111,011,425 ÷ 3 = 37,003,808.3333

If the quotient is a whole number, then 3 and 37,003,808.3333 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:

1 111,011,425
-1 -111,011,425

Let's try dividing by 4:

111,011,425 ÷ 4 = 27,752,856.25

If the quotient is a whole number, then 4 and 27,752,856.25 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:

1 111,011,425
-1 111,011,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351511757551,0573,7754,2015,28521,00526,42529,407105,025147,035634,351735,1753,171,7554,440,45715,858,77522,202,285111,011,425
-1-5-7-25-35-151-175-755-1,057-3,775-4,201-5,285-21,005-26,425-29,407-105,025-147,035-634,351-735,175-3,171,755-4,440,457-15,858,775-22,202,285-111,011,425

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