Q: What are the factor combinations of the number 27,117,839?

 A:
Positive:   1 x 271178397 x 387397717 x 159516731 x 874769119 x 227881217 x 124967527 x 514573689 x 7351
Negative: -1 x -27117839-7 x -3873977-17 x -1595167-31 x -874769-119 x -227881-217 x -124967-527 x -51457-3689 x -7351


How do I find the factor combinations of the number 27,117,839?

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 27,117,839, 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 27,117,839
-1 -27,117,839

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 27,117,839.

Example:
1 x 27,117,839 = 27,117,839
and
-1 x -27,117,839 = 27,117,839
Notice both answers equal 27,117,839

With that explanation out of the way, let's continue. Next, we take the number 27,117,839 and divide it by 2:

27,117,839 ÷ 2 = 13,558,919.5

If the quotient is a whole number, then 2 and 13,558,919.5 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 27,117,839
-1 -27,117,839

Now, we try dividing 27,117,839 by 3:

27,117,839 ÷ 3 = 9,039,279.6667

If the quotient is a whole number, then 3 and 9,039,279.6667 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 27,117,839
-1 -27,117,839

Let's try dividing by 4:

27,117,839 ÷ 4 = 6,779,459.75

If the quotient is a whole number, then 4 and 6,779,459.75 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 27,117,839
-1 27,117,839
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,6897,35151,457124,967227,881874,7691,595,1673,873,97727,117,839
-1-7-17-31-119-217-527-3,689-7,351-51,457-124,967-227,881-874,769-1,595,167-3,873,977-27,117,839

More Examples

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