Q: What are the factor combinations of the number 177,751,727?

 A:
Positive:   1 x 177751727317 x 560731431 x 4124171301 x 136627
Negative: -1 x -177751727-317 x -560731-431 x -412417-1301 x -136627


How do I find the factor combinations of the number 177,751,727?

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 177,751,727, 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.

1 177,751,727
-1 -177,751,727

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 177,751,727.

Example:
1 x 177,751,727 = 177,751,727
and
-1 x -177,751,727 = 177,751,727
Notice both answers equal 177,751,727

With that explanation out of the way, let's continue. Next, we take the number 177,751,727 and divide it by 2:

177,751,727 ÷ 2 = 88,875,863.5

If the quotient is a whole number, then 2 and 88,875,863.5 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:

1 177,751,727
-1 -177,751,727

Now, we try dividing 177,751,727 by 3:

177,751,727 ÷ 3 = 59,250,575.6667

If the quotient is a whole number, then 3 and 59,250,575.6667 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:

1 177,751,727
-1 -177,751,727

Let's try dividing by 4:

177,751,727 ÷ 4 = 44,437,931.75

If the quotient is a whole number, then 4 and 44,437,931.75 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:

1 177,751,727
-1 177,751,727
Keep dividing by the next highest number until you cannot divide anymore.

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

13174311,301136,627412,417560,731177,751,727
-1-317-431-1,301-136,627-412,417-560,731-177,751,727

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 177,751,727:


Ask a Question