Q: What are the factor combinations of the number 177,715,765?

 A:
Positive:   1 x 1777157655 x 35543153107 x 1660895535 x 332179
Negative: -1 x -177715765-5 x -35543153-107 x -1660895-535 x -332179


How do I find the factor combinations of the number 177,715,765?

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 177,715,765, 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.

1 177,715,765
-1 -177,715,765

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 177,715,765.

Example:
1 x 177,715,765 = 177,715,765
and
-1 x -177,715,765 = 177,715,765
Notice both answers equal 177,715,765

With that explanation out of the way, let's continue. Next, we take the number 177,715,765 and divide it by 2:

177,715,765 ÷ 2 = 88,857,882.5

If the quotient is a whole number, then 2 and 88,857,882.5 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:

1 177,715,765
-1 -177,715,765

Now, we try dividing 177,715,765 by 3:

177,715,765 ÷ 3 = 59,238,588.3333

If the quotient is a whole number, then 3 and 59,238,588.3333 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:

1 177,715,765
-1 -177,715,765

Let's try dividing by 4:

177,715,765 ÷ 4 = 44,428,941.25

If the quotient is a whole number, then 4 and 44,428,941.25 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:

1 177,715,765
-1 177,715,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15107535332,1791,660,89535,543,153177,715,765
-1-5-107-535-332,179-1,660,895-35,543,153-177,715,765

More Examples

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