Q: What are the factor combinations of the number 111,020,507?

 A:
Positive:   1 x 11102050713 x 8540039103 x 10778691339 x 82913
Negative: -1 x -111020507-13 x -8540039-103 x -1077869-1339 x -82913


How do I find the factor combinations of the number 111,020,507?

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 111,020,507, 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.

1 111,020,507
-1 -111,020,507

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 111,020,507.

Example:
1 x 111,020,507 = 111,020,507
and
-1 x -111,020,507 = 111,020,507
Notice both answers equal 111,020,507

With that explanation out of the way, let's continue. Next, we take the number 111,020,507 and divide it by 2:

111,020,507 ÷ 2 = 55,510,253.5

If the quotient is a whole number, then 2 and 55,510,253.5 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:

1 111,020,507
-1 -111,020,507

Now, we try dividing 111,020,507 by 3:

111,020,507 ÷ 3 = 37,006,835.6667

If the quotient is a whole number, then 3 and 37,006,835.6667 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:

1 111,020,507
-1 -111,020,507

Let's try dividing by 4:

111,020,507 ÷ 4 = 27,755,126.75

If the quotient is a whole number, then 4 and 27,755,126.75 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:

1 111,020,507
-1 111,020,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1131031,33982,9131,077,8698,540,039111,020,507
-1-13-103-1,339-82,913-1,077,869-8,540,039-111,020,507

More Examples

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