Q: What are the factor combinations of the number 826,376,747?

 A:
Positive:   1 x 8263767477 x 11805382119 x 43493513133 x 6213359919 x 8992136433 x 1284596761 x 12222717461 x 47327
Negative: -1 x -826376747-7 x -118053821-19 x -43493513-133 x -6213359-919 x -899213-6433 x -128459-6761 x -122227-17461 x -47327


How do I find the factor combinations of the number 826,376,747?

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 826,376,747, 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.

1 826,376,747
-1 -826,376,747

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 826,376,747.

Example:
1 x 826,376,747 = 826,376,747
and
-1 x -826,376,747 = 826,376,747
Notice both answers equal 826,376,747

With that explanation out of the way, let's continue. Next, we take the number 826,376,747 and divide it by 2:

826,376,747 ÷ 2 = 413,188,373.5

If the quotient is a whole number, then 2 and 413,188,373.5 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:

1 826,376,747
-1 -826,376,747

Now, we try dividing 826,376,747 by 3:

826,376,747 ÷ 3 = 275,458,915.6667

If the quotient is a whole number, then 3 and 275,458,915.6667 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:

1 826,376,747
-1 -826,376,747

Let's try dividing by 4:

826,376,747 ÷ 4 = 206,594,186.75

If the quotient is a whole number, then 4 and 206,594,186.75 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:

1 826,376,747
-1 826,376,747
Keep dividing by the next highest number until you cannot divide anymore.

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

17191339196,4336,76117,46147,327122,227128,459899,2136,213,35943,493,513118,053,821826,376,747
-1-7-19-133-919-6,433-6,761-17,461-47,327-122,227-128,459-899,213-6,213,359-43,493,513-118,053,821-826,376,747

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