Q: What are the factor combinations of the number 531,172,885?

 A:
Positive:   1 x 5311728855 x 106234577113 x 4700645565 x 940129857 x 6198051097 x 4842054285 x 1239615485 x 96841
Negative: -1 x -531172885-5 x -106234577-113 x -4700645-565 x -940129-857 x -619805-1097 x -484205-4285 x -123961-5485 x -96841


How do I find the factor combinations of the number 531,172,885?

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 531,172,885, 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.

1 531,172,885
-1 -531,172,885

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 531,172,885.

Example:
1 x 531,172,885 = 531,172,885
and
-1 x -531,172,885 = 531,172,885
Notice both answers equal 531,172,885

With that explanation out of the way, let's continue. Next, we take the number 531,172,885 and divide it by 2:

531,172,885 ÷ 2 = 265,586,442.5

If the quotient is a whole number, then 2 and 265,586,442.5 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:

1 531,172,885
-1 -531,172,885

Now, we try dividing 531,172,885 by 3:

531,172,885 ÷ 3 = 177,057,628.3333

If the quotient is a whole number, then 3 and 177,057,628.3333 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:

1 531,172,885
-1 -531,172,885

Let's try dividing by 4:

531,172,885 ÷ 4 = 132,793,221.25

If the quotient is a whole number, then 4 and 132,793,221.25 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:

1 531,172,885
-1 531,172,885
Keep dividing by the next highest number until you cannot divide anymore.

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

151135658571,0974,2855,48596,841123,961484,205619,805940,1294,700,645106,234,577531,172,885
-1-5-113-565-857-1,097-4,285-5,485-96,841-123,961-484,205-619,805-940,129-4,700,645-106,234,577-531,172,885

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