Q: What are the factor combinations of the number 11,502,155?

 A:
Positive:   1 x 115021555 x 23004317 x 164316535 x 328633
Negative: -1 x -11502155-5 x -2300431-7 x -1643165-35 x -328633


How do I find the factor combinations of the number 11,502,155?

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 11,502,155, 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 11,502,155
-1 -11,502,155

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 11,502,155.

Example:
1 x 11,502,155 = 11,502,155
and
-1 x -11,502,155 = 11,502,155
Notice both answers equal 11,502,155

With that explanation out of the way, let's continue. Next, we take the number 11,502,155 and divide it by 2:

11,502,155 ÷ 2 = 5,751,077.5

If the quotient is a whole number, then 2 and 5,751,077.5 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 11,502,155
-1 -11,502,155

Now, we try dividing 11,502,155 by 3:

11,502,155 ÷ 3 = 3,834,051.6667

If the quotient is a whole number, then 3 and 3,834,051.6667 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 11,502,155
-1 -11,502,155

Let's try dividing by 4:

11,502,155 ÷ 4 = 2,875,538.75

If the quotient is a whole number, then 4 and 2,875,538.75 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 11,502,155
-1 11,502,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15735328,6331,643,1652,300,43111,502,155
-1-5-7-35-328,633-1,643,165-2,300,431-11,502,155

More Examples

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