Q: What are the factor combinations of the number 564,503,563?

 A:
Positive:   1 x 56450356313 x 4342335159 x 9567857277 x 2037919767 x 7359892657 x 2124593601 x 15676316343 x 34541
Negative: -1 x -564503563-13 x -43423351-59 x -9567857-277 x -2037919-767 x -735989-2657 x -212459-3601 x -156763-16343 x -34541


How do I find the factor combinations of the number 564,503,563?

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 564,503,563, 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.

1 564,503,563
-1 -564,503,563

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 564,503,563.

Example:
1 x 564,503,563 = 564,503,563
and
-1 x -564,503,563 = 564,503,563
Notice both answers equal 564,503,563

With that explanation out of the way, let's continue. Next, we take the number 564,503,563 and divide it by 2:

564,503,563 ÷ 2 = 282,251,781.5

If the quotient is a whole number, then 2 and 282,251,781.5 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:

1 564,503,563
-1 -564,503,563

Now, we try dividing 564,503,563 by 3:

564,503,563 ÷ 3 = 188,167,854.3333

If the quotient is a whole number, then 3 and 188,167,854.3333 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:

1 564,503,563
-1 -564,503,563

Let's try dividing by 4:

564,503,563 ÷ 4 = 141,125,890.75

If the quotient is a whole number, then 4 and 141,125,890.75 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:

1 564,503,563
-1 564,503,563
Keep dividing by the next highest number until you cannot divide anymore.

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

113592777672,6573,60116,34334,541156,763212,459735,9892,037,9199,567,85743,423,351564,503,563
-1-13-59-277-767-2,657-3,601-16,343-34,541-156,763-212,459-735,989-2,037,919-9,567,857-43,423,351-564,503,563

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