Q: What are the factor combinations of the number 81,182,155?

 A:
Positive:   1 x 811821555 x 1623643119 x 427274561 x 133085595 x 854549305 x 2661711159 x 700455795 x 14009
Negative: -1 x -81182155-5 x -16236431-19 x -4272745-61 x -1330855-95 x -854549-305 x -266171-1159 x -70045-5795 x -14009


How do I find the factor combinations of the number 81,182,155?

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 81,182,155, 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 81,182,155
-1 -81,182,155

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 81,182,155.

Example:
1 x 81,182,155 = 81,182,155
and
-1 x -81,182,155 = 81,182,155
Notice both answers equal 81,182,155

With that explanation out of the way, let's continue. Next, we take the number 81,182,155 and divide it by 2:

81,182,155 ÷ 2 = 40,591,077.5

If the quotient is a whole number, then 2 and 40,591,077.5 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 81,182,155
-1 -81,182,155

Now, we try dividing 81,182,155 by 3:

81,182,155 ÷ 3 = 27,060,718.3333

If the quotient is a whole number, then 3 and 27,060,718.3333 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 81,182,155
-1 -81,182,155

Let's try dividing by 4:

81,182,155 ÷ 4 = 20,295,538.75

If the quotient is a whole number, then 4 and 20,295,538.75 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 81,182,155
-1 81,182,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151961953051,1595,79514,00970,045266,171854,5491,330,8554,272,74516,236,43181,182,155
-1-5-19-61-95-305-1,159-5,795-14,009-70,045-266,171-854,549-1,330,855-4,272,745-16,236,431-81,182,155

More Examples

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