Q: What are the factor combinations of the number 563,624,635?

 A:
Positive:   1 x 5636246355 x 1127249277 x 8051780535 x 16103561467 x 12069052335 x 2413813269 x 17241516345 x 34483
Negative: -1 x -563624635-5 x -112724927-7 x -80517805-35 x -16103561-467 x -1206905-2335 x -241381-3269 x -172415-16345 x -34483


How do I find the factor combinations of the number 563,624,635?

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 563,624,635, 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.

1 563,624,635
-1 -563,624,635

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 563,624,635.

Example:
1 x 563,624,635 = 563,624,635
and
-1 x -563,624,635 = 563,624,635
Notice both answers equal 563,624,635

With that explanation out of the way, let's continue. Next, we take the number 563,624,635 and divide it by 2:

563,624,635 ÷ 2 = 281,812,317.5

If the quotient is a whole number, then 2 and 281,812,317.5 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:

1 563,624,635
-1 -563,624,635

Now, we try dividing 563,624,635 by 3:

563,624,635 ÷ 3 = 187,874,878.3333

If the quotient is a whole number, then 3 and 187,874,878.3333 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:

1 563,624,635
-1 -563,624,635

Let's try dividing by 4:

563,624,635 ÷ 4 = 140,906,158.75

If the quotient is a whole number, then 4 and 140,906,158.75 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:

1 563,624,635
-1 563,624,635
Keep dividing by the next highest number until you cannot divide anymore.

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

157354672,3353,26916,34534,483172,415241,3811,206,90516,103,56180,517,805112,724,927563,624,635
-1-5-7-35-467-2,335-3,269-16,345-34,483-172,415-241,381-1,206,905-16,103,561-80,517,805-112,724,927-563,624,635

More Examples

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