Q: What are the factor combinations of the number 6,317,815?

 A:
Positive:   1 x 63178155 x 12635637 x 90254535 x 18050949 x 128935107 x 59045241 x 26215245 x 25787535 x 11809749 x 84351205 x 52431687 x 3745
Negative: -1 x -6317815-5 x -1263563-7 x -902545-35 x -180509-49 x -128935-107 x -59045-241 x -26215-245 x -25787-535 x -11809-749 x -8435-1205 x -5243-1687 x -3745


How do I find the factor combinations of the number 6,317,815?

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 6,317,815, 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 6,317,815
-1 -6,317,815

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 6,317,815.

Example:
1 x 6,317,815 = 6,317,815
and
-1 x -6,317,815 = 6,317,815
Notice both answers equal 6,317,815

With that explanation out of the way, let's continue. Next, we take the number 6,317,815 and divide it by 2:

6,317,815 ÷ 2 = 3,158,907.5

If the quotient is a whole number, then 2 and 3,158,907.5 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 6,317,815
-1 -6,317,815

Now, we try dividing 6,317,815 by 3:

6,317,815 ÷ 3 = 2,105,938.3333

If the quotient is a whole number, then 3 and 2,105,938.3333 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 6,317,815
-1 -6,317,815

Let's try dividing by 4:

6,317,815 ÷ 4 = 1,579,453.75

If the quotient is a whole number, then 4 and 1,579,453.75 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 6,317,815
-1 6,317,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491072412455357491,2051,6873,7455,2438,43511,80925,78726,21559,045128,935180,509902,5451,263,5636,317,815
-1-5-7-35-49-107-241-245-535-749-1,205-1,687-3,745-5,243-8,435-11,809-25,787-26,215-59,045-128,935-180,509-902,545-1,263,563-6,317,815

More Examples

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