Q: What are the factor combinations of the number 111,004,015?

 A:
Positive:   1 x 1110040155 x 2220080341 x 2707415205 x 541483
Negative: -1 x -111004015-5 x -22200803-41 x -2707415-205 x -541483


How do I find the factor combinations of the number 111,004,015?

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 111,004,015, 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.

1 111,004,015
-1 -111,004,015

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 111,004,015.

Example:
1 x 111,004,015 = 111,004,015
and
-1 x -111,004,015 = 111,004,015
Notice both answers equal 111,004,015

With that explanation out of the way, let's continue. Next, we take the number 111,004,015 and divide it by 2:

111,004,015 ÷ 2 = 55,502,007.5

If the quotient is a whole number, then 2 and 55,502,007.5 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:

1 111,004,015
-1 -111,004,015

Now, we try dividing 111,004,015 by 3:

111,004,015 ÷ 3 = 37,001,338.3333

If the quotient is a whole number, then 3 and 37,001,338.3333 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:

1 111,004,015
-1 -111,004,015

Let's try dividing by 4:

111,004,015 ÷ 4 = 27,751,003.75

If the quotient is a whole number, then 4 and 27,751,003.75 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:

1 111,004,015
-1 111,004,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1541205541,4832,707,41522,200,803111,004,015
-1-5-41-205-541,483-2,707,415-22,200,803-111,004,015

More Examples

Here are some more numbers to try:

111,004,013111,004,014111,004,016111,004,017
Try the factor calculator

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