Q: What are the factor combinations of the number 77,325,563?

 A:
Positive:   1 x 773255637 x 1104650923 x 336198131 x 2494373161 x 480283217 x 356339713 x 1084514991 x 15493
Negative: -1 x -77325563-7 x -11046509-23 x -3361981-31 x -2494373-161 x -480283-217 x -356339-713 x -108451-4991 x -15493


How do I find the factor combinations of the number 77,325,563?

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 77,325,563, 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 77,325,563
-1 -77,325,563

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 77,325,563.

Example:
1 x 77,325,563 = 77,325,563
and
-1 x -77,325,563 = 77,325,563
Notice both answers equal 77,325,563

With that explanation out of the way, let's continue. Next, we take the number 77,325,563 and divide it by 2:

77,325,563 ÷ 2 = 38,662,781.5

If the quotient is a whole number, then 2 and 38,662,781.5 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 77,325,563
-1 -77,325,563

Now, we try dividing 77,325,563 by 3:

77,325,563 ÷ 3 = 25,775,187.6667

If the quotient is a whole number, then 3 and 25,775,187.6667 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 77,325,563
-1 -77,325,563

Let's try dividing by 4:

77,325,563 ÷ 4 = 19,331,390.75

If the quotient is a whole number, then 4 and 19,331,390.75 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 77,325,563
-1 77,325,563
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177134,99115,493108,451356,339480,2832,494,3733,361,98111,046,50977,325,563
-1-7-23-31-161-217-713-4,991-15,493-108,451-356,339-480,283-2,494,373-3,361,981-11,046,509-77,325,563

More Examples

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