Q: What are the factor combinations of the number 563,650,553?

 A:
Positive:   1 x 56365055361 x 9240173
Negative: -1 x -563650553-61 x -9240173


How do I find the factor combinations of the number 563,650,553?

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 563,650,553, 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.

1 563,650,553
-1 -563,650,553

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 563,650,553.

Example:
1 x 563,650,553 = 563,650,553
and
-1 x -563,650,553 = 563,650,553
Notice both answers equal 563,650,553

With that explanation out of the way, let's continue. Next, we take the number 563,650,553 and divide it by 2:

563,650,553 ÷ 2 = 281,825,276.5

If the quotient is a whole number, then 2 and 281,825,276.5 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:

1 563,650,553
-1 -563,650,553

Now, we try dividing 563,650,553 by 3:

563,650,553 ÷ 3 = 187,883,517.6667

If the quotient is a whole number, then 3 and 187,883,517.6667 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:

1 563,650,553
-1 -563,650,553

Let's try dividing by 4:

563,650,553 ÷ 4 = 140,912,638.25

If the quotient is a whole number, then 4 and 140,912,638.25 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:

1 563,650,553
-1 563,650,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1619,240,173563,650,553
-1-61-9,240,173-563,650,553

More Examples

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