Q: What are the factor combinations of the number 5,342,509?

 A:
Positive:   1 x 534250923 x 23228331 x 17233959 x 90551127 x 42067713 x 74931357 x 39371829 x 2921
Negative: -1 x -5342509-23 x -232283-31 x -172339-59 x -90551-127 x -42067-713 x -7493-1357 x -3937-1829 x -2921


How do I find the factor combinations of the number 5,342,509?

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 5,342,509, 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 5,342,509
-1 -5,342,509

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 5,342,509.

Example:
1 x 5,342,509 = 5,342,509
and
-1 x -5,342,509 = 5,342,509
Notice both answers equal 5,342,509

With that explanation out of the way, let's continue. Next, we take the number 5,342,509 and divide it by 2:

5,342,509 ÷ 2 = 2,671,254.5

If the quotient is a whole number, then 2 and 2,671,254.5 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 5,342,509
-1 -5,342,509

Now, we try dividing 5,342,509 by 3:

5,342,509 ÷ 3 = 1,780,836.3333

If the quotient is a whole number, then 3 and 1,780,836.3333 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 5,342,509
-1 -5,342,509

Let's try dividing by 4:

5,342,509 ÷ 4 = 1,335,627.25

If the quotient is a whole number, then 4 and 1,335,627.25 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 5,342,509
-1 5,342,509
Keep dividing by the next highest number until you cannot divide anymore.

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

12331591277131,3571,8292,9213,9377,49342,06790,551172,339232,2835,342,509
-1-23-31-59-127-713-1,357-1,829-2,921-3,937-7,493-42,067-90,551-172,339-232,283-5,342,509

More Examples

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