Q: What are the factor combinations of the number 1,177,747?

 A:
Positive:   1 x 117774737 x 31831139 x 8473229 x 5143
Negative: -1 x -1177747-37 x -31831-139 x -8473-229 x -5143


How do I find the factor combinations of the number 1,177,747?

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 1,177,747, 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 1,177,747
-1 -1,177,747

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 1,177,747.

Example:
1 x 1,177,747 = 1,177,747
and
-1 x -1,177,747 = 1,177,747
Notice both answers equal 1,177,747

With that explanation out of the way, let's continue. Next, we take the number 1,177,747 and divide it by 2:

1,177,747 ÷ 2 = 588,873.5

If the quotient is a whole number, then 2 and 588,873.5 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 1,177,747
-1 -1,177,747

Now, we try dividing 1,177,747 by 3:

1,177,747 ÷ 3 = 392,582.3333

If the quotient is a whole number, then 3 and 392,582.3333 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 1,177,747
-1 -1,177,747

Let's try dividing by 4:

1,177,747 ÷ 4 = 294,436.75

If the quotient is a whole number, then 4 and 294,436.75 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 1,177,747
-1 1,177,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1371392295,1438,47331,8311,177,747
-1-37-139-229-5,143-8,473-31,831-1,177,747

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,177,747:


Ask a Question