Q: What are the factor combinations of the number 18,332,155?

 A:
Positive:   1 x 183321555 x 3666431151 x 121405755 x 24281
Negative: -1 x -18332155-5 x -3666431-151 x -121405-755 x -24281


How do I find the factor combinations of the number 18,332,155?

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 18,332,155, 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 18,332,155
-1 -18,332,155

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 18,332,155.

Example:
1 x 18,332,155 = 18,332,155
and
-1 x -18,332,155 = 18,332,155
Notice both answers equal 18,332,155

With that explanation out of the way, let's continue. Next, we take the number 18,332,155 and divide it by 2:

18,332,155 ÷ 2 = 9,166,077.5

If the quotient is a whole number, then 2 and 9,166,077.5 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 18,332,155
-1 -18,332,155

Now, we try dividing 18,332,155 by 3:

18,332,155 ÷ 3 = 6,110,718.3333

If the quotient is a whole number, then 3 and 6,110,718.3333 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 18,332,155
-1 -18,332,155

Let's try dividing by 4:

18,332,155 ÷ 4 = 4,583,038.75

If the quotient is a whole number, then 4 and 4,583,038.75 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 18,332,155
-1 18,332,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1515175524,281121,4053,666,43118,332,155
-1-5-151-755-24,281-121,405-3,666,431-18,332,155

More Examples

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