Q: What are the factor combinations of the number 5,482,691?

 A:
Positive:   1 x 548269131 x 17686147 x 11665353 x 10344771 x 772211457 x 37631643 x 33372201 x 2491
Negative: -1 x -5482691-31 x -176861-47 x -116653-53 x -103447-71 x -77221-1457 x -3763-1643 x -3337-2201 x -2491


How do I find the factor combinations of the number 5,482,691?

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 5,482,691, 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 5,482,691
-1 -5,482,691

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 5,482,691.

Example:
1 x 5,482,691 = 5,482,691
and
-1 x -5,482,691 = 5,482,691
Notice both answers equal 5,482,691

With that explanation out of the way, let's continue. Next, we take the number 5,482,691 and divide it by 2:

5,482,691 ÷ 2 = 2,741,345.5

If the quotient is a whole number, then 2 and 2,741,345.5 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 5,482,691
-1 -5,482,691

Now, we try dividing 5,482,691 by 3:

5,482,691 ÷ 3 = 1,827,563.6667

If the quotient is a whole number, then 3 and 1,827,563.6667 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 5,482,691
-1 -5,482,691

Let's try dividing by 4:

5,482,691 ÷ 4 = 1,370,672.75

If the quotient is a whole number, then 4 and 1,370,672.75 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 5,482,691
-1 5,482,691
Keep dividing by the next highest number until you cannot divide anymore.

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

1314753711,4571,6432,2012,4913,3373,76377,221103,447116,653176,8615,482,691
-1-31-47-53-71-1,457-1,643-2,201-2,491-3,337-3,763-77,221-103,447-116,653-176,861-5,482,691

More Examples

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