Q: What are the factor combinations of the number 27,156,155?

 A:
Positive:   1 x 271561555 x 543123113 x 208893531 x 87600565 x 417787155 x 175201403 x 673852015 x 13477
Negative: -1 x -27156155-5 x -5431231-13 x -2088935-31 x -876005-65 x -417787-155 x -175201-403 x -67385-2015 x -13477


How do I find the factor combinations of the number 27,156,155?

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 27,156,155, 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 27,156,155
-1 -27,156,155

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 27,156,155.

Example:
1 x 27,156,155 = 27,156,155
and
-1 x -27,156,155 = 27,156,155
Notice both answers equal 27,156,155

With that explanation out of the way, let's continue. Next, we take the number 27,156,155 and divide it by 2:

27,156,155 ÷ 2 = 13,578,077.5

If the quotient is a whole number, then 2 and 13,578,077.5 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 27,156,155
-1 -27,156,155

Now, we try dividing 27,156,155 by 3:

27,156,155 ÷ 3 = 9,052,051.6667

If the quotient is a whole number, then 3 and 9,052,051.6667 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 27,156,155
-1 -27,156,155

Let's try dividing by 4:

27,156,155 ÷ 4 = 6,789,038.75

If the quotient is a whole number, then 4 and 6,789,038.75 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 27,156,155
-1 27,156,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01513,47767,385175,201417,787876,0052,088,9355,431,23127,156,155
-1-5-13-31-65-155-403-2,015-13,477-67,385-175,201-417,787-876,005-2,088,935-5,431,231-27,156,155

More Examples

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