Q: What are the factor combinations of the number 540,100,339?

 A:
Positive:   1 x 54010033941 x 1317317943 x 1256047383 x 65072331763 x 3063533403 x 1587133569 x 1513313691 x 146329
Negative: -1 x -540100339-41 x -13173179-43 x -12560473-83 x -6507233-1763 x -306353-3403 x -158713-3569 x -151331-3691 x -146329


How do I find the factor combinations of the number 540,100,339?

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 540,100,339, 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.

1 540,100,339
-1 -540,100,339

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 540,100,339.

Example:
1 x 540,100,339 = 540,100,339
and
-1 x -540,100,339 = 540,100,339
Notice both answers equal 540,100,339

With that explanation out of the way, let's continue. Next, we take the number 540,100,339 and divide it by 2:

540,100,339 ÷ 2 = 270,050,169.5

If the quotient is a whole number, then 2 and 270,050,169.5 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:

1 540,100,339
-1 -540,100,339

Now, we try dividing 540,100,339 by 3:

540,100,339 ÷ 3 = 180,033,446.3333

If the quotient is a whole number, then 3 and 180,033,446.3333 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:

1 540,100,339
-1 -540,100,339

Let's try dividing by 4:

540,100,339 ÷ 4 = 135,025,084.75

If the quotient is a whole number, then 4 and 135,025,084.75 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:

1 540,100,339
-1 540,100,339
Keep dividing by the next highest number until you cannot divide anymore.

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

14143831,7633,4033,5693,691146,329151,331158,713306,3536,507,23312,560,47313,173,179540,100,339
-1-41-43-83-1,763-3,403-3,569-3,691-146,329-151,331-158,713-306,353-6,507,233-12,560,473-13,173,179-540,100,339

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