Q: What are the factor combinations of the number 540,646,165?

 A:
Positive:   1 x 5406461655 x 10812923323 x 23506355115 x 47012711217 x 4442453863 x 1399556085 x 8884919315 x 27991
Negative: -1 x -540646165-5 x -108129233-23 x -23506355-115 x -4701271-1217 x -444245-3863 x -139955-6085 x -88849-19315 x -27991


How do I find the factor combinations of the number 540,646,165?

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 540,646,165, 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.

1 540,646,165
-1 -540,646,165

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 540,646,165.

Example:
1 x 540,646,165 = 540,646,165
and
-1 x -540,646,165 = 540,646,165
Notice both answers equal 540,646,165

With that explanation out of the way, let's continue. Next, we take the number 540,646,165 and divide it by 2:

540,646,165 ÷ 2 = 270,323,082.5

If the quotient is a whole number, then 2 and 270,323,082.5 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:

1 540,646,165
-1 -540,646,165

Now, we try dividing 540,646,165 by 3:

540,646,165 ÷ 3 = 180,215,388.3333

If the quotient is a whole number, then 3 and 180,215,388.3333 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:

1 540,646,165
-1 -540,646,165

Let's try dividing by 4:

540,646,165 ÷ 4 = 135,161,541.25

If the quotient is a whole number, then 4 and 135,161,541.25 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:

1 540,646,165
-1 540,646,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,2173,8636,08519,31527,99188,849139,955444,2454,701,27123,506,355108,129,233540,646,165
-1-5-23-115-1,217-3,863-6,085-19,315-27,991-88,849-139,955-444,245-4,701,271-23,506,355-108,129,233-540,646,165

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