Q: What are the factor combinations of the number 532,555,621?

 A:
Positive:   1 x 53255562113 x 409658171327 x 40132317251 x 30871
Negative: -1 x -532555621-13 x -40965817-1327 x -401323-17251 x -30871


How do I find the factor combinations of the number 532,555,621?

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 532,555,621, 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.

1 532,555,621
-1 -532,555,621

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 532,555,621.

Example:
1 x 532,555,621 = 532,555,621
and
-1 x -532,555,621 = 532,555,621
Notice both answers equal 532,555,621

With that explanation out of the way, let's continue. Next, we take the number 532,555,621 and divide it by 2:

532,555,621 ÷ 2 = 266,277,810.5

If the quotient is a whole number, then 2 and 266,277,810.5 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:

1 532,555,621
-1 -532,555,621

Now, we try dividing 532,555,621 by 3:

532,555,621 ÷ 3 = 177,518,540.3333

If the quotient is a whole number, then 3 and 177,518,540.3333 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:

1 532,555,621
-1 -532,555,621

Let's try dividing by 4:

532,555,621 ÷ 4 = 133,138,905.25

If the quotient is a whole number, then 4 and 133,138,905.25 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:

1 532,555,621
-1 532,555,621
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,32717,25130,871401,32340,965,817532,555,621
-1-13-1,327-17,251-30,871-401,323-40,965,817-532,555,621

More Examples

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