Q: What are the factor combinations of the number 27,116,425?

 A:
Positive:   1 x 271164255 x 54232857 x 387377523 x 117897525 x 108465735 x 774755115 x 235795161 x 168425175 x 154951575 x 47159805 x 336854025 x 6737
Negative: -1 x -27116425-5 x -5423285-7 x -3873775-23 x -1178975-25 x -1084657-35 x -774755-115 x -235795-161 x -168425-175 x -154951-575 x -47159-805 x -33685-4025 x -6737


How do I find the factor combinations of the number 27,116,425?

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 27,116,425, 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 27,116,425
-1 -27,116,425

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 27,116,425.

Example:
1 x 27,116,425 = 27,116,425
and
-1 x -27,116,425 = 27,116,425
Notice both answers equal 27,116,425

With that explanation out of the way, let's continue. Next, we take the number 27,116,425 and divide it by 2:

27,116,425 ÷ 2 = 13,558,212.5

If the quotient is a whole number, then 2 and 13,558,212.5 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 27,116,425
-1 -27,116,425

Now, we try dividing 27,116,425 by 3:

27,116,425 ÷ 3 = 9,038,808.3333

If the quotient is a whole number, then 3 and 9,038,808.3333 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 27,116,425
-1 -27,116,425

Let's try dividing by 4:

27,116,425 ÷ 4 = 6,779,106.25

If the quotient is a whole number, then 4 and 6,779,106.25 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 27,116,425
-1 27,116,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572325351151611755758054,0256,73733,68547,159154,951168,425235,795774,7551,084,6571,178,9753,873,7755,423,28527,116,425
-1-5-7-23-25-35-115-161-175-575-805-4,025-6,737-33,685-47,159-154,951-168,425-235,795-774,755-1,084,657-1,178,975-3,873,775-5,423,285-27,116,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 27,116,425:


Ask a Question