Q: What are the factor combinations of the number 111,443,299?

 A:
Positive:   1 x 11144329911 x 10131209101 x 1103399121 x 921019829 x 1344311111 x 1003091331 x 837299119 x 12221
Negative: -1 x -111443299-11 x -10131209-101 x -1103399-121 x -921019-829 x -134431-1111 x -100309-1331 x -83729-9119 x -12221


How do I find the factor combinations of the number 111,443,299?

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 111,443,299, 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.

1 111,443,299
-1 -111,443,299

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 111,443,299.

Example:
1 x 111,443,299 = 111,443,299
and
-1 x -111,443,299 = 111,443,299
Notice both answers equal 111,443,299

With that explanation out of the way, let's continue. Next, we take the number 111,443,299 and divide it by 2:

111,443,299 ÷ 2 = 55,721,649.5

If the quotient is a whole number, then 2 and 55,721,649.5 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:

1 111,443,299
-1 -111,443,299

Now, we try dividing 111,443,299 by 3:

111,443,299 ÷ 3 = 37,147,766.3333

If the quotient is a whole number, then 3 and 37,147,766.3333 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:

1 111,443,299
-1 -111,443,299

Let's try dividing by 4:

111,443,299 ÷ 4 = 27,860,824.75

If the quotient is a whole number, then 4 and 27,860,824.75 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:

1 111,443,299
-1 111,443,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1111011218291,1111,3319,11912,22183,729100,309134,431921,0191,103,39910,131,209111,443,299
-1-11-101-121-829-1,111-1,331-9,119-12,221-83,729-100,309-134,431-921,019-1,103,399-10,131,209-111,443,299

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