Q: What are the factor combinations of the number 111,441,143?

 A:
Positive:   1 x 11144114311 x 1013101373 x 1526591137 x 813439803 x 1387811013 x 1100111507 x 7394910001 x 11143
Negative: -1 x -111441143-11 x -10131013-73 x -1526591-137 x -813439-803 x -138781-1013 x -110011-1507 x -73949-10001 x -11143


How do I find the factor combinations of the number 111,441,143?

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 111,441,143, 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.

1 111,441,143
-1 -111,441,143

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 111,441,143.

Example:
1 x 111,441,143 = 111,441,143
and
-1 x -111,441,143 = 111,441,143
Notice both answers equal 111,441,143

With that explanation out of the way, let's continue. Next, we take the number 111,441,143 and divide it by 2:

111,441,143 ÷ 2 = 55,720,571.5

If the quotient is a whole number, then 2 and 55,720,571.5 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:

1 111,441,143
-1 -111,441,143

Now, we try dividing 111,441,143 by 3:

111,441,143 ÷ 3 = 37,147,047.6667

If the quotient is a whole number, then 3 and 37,147,047.6667 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:

1 111,441,143
-1 -111,441,143

Let's try dividing by 4:

111,441,143 ÷ 4 = 27,860,285.75

If the quotient is a whole number, then 4 and 27,860,285.75 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:

1 111,441,143
-1 111,441,143
Keep dividing by the next highest number until you cannot divide anymore.

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

111731378031,0131,50710,00111,14373,949110,011138,781813,4391,526,59110,131,013111,441,143
-1-11-73-137-803-1,013-1,507-10,001-11,143-73,949-110,011-138,781-813,439-1,526,591-10,131,013-111,441,143

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