Q: What are the factor combinations of the number 563,503,315?

 A:
Positive:   1 x 5635033155 x 112700663113 x 4986755565 x 997351613 x 9192551627 x 3463453065 x 1838518135 x 69269
Negative: -1 x -563503315-5 x -112700663-113 x -4986755-565 x -997351-613 x -919255-1627 x -346345-3065 x -183851-8135 x -69269


How do I find the factor combinations of the number 563,503,315?

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 563,503,315, 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.

1 563,503,315
-1 -563,503,315

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 563,503,315.

Example:
1 x 563,503,315 = 563,503,315
and
-1 x -563,503,315 = 563,503,315
Notice both answers equal 563,503,315

With that explanation out of the way, let's continue. Next, we take the number 563,503,315 and divide it by 2:

563,503,315 ÷ 2 = 281,751,657.5

If the quotient is a whole number, then 2 and 281,751,657.5 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:

1 563,503,315
-1 -563,503,315

Now, we try dividing 563,503,315 by 3:

563,503,315 ÷ 3 = 187,834,438.3333

If the quotient is a whole number, then 3 and 187,834,438.3333 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:

1 563,503,315
-1 -563,503,315

Let's try dividing by 4:

563,503,315 ÷ 4 = 140,875,828.75

If the quotient is a whole number, then 4 and 140,875,828.75 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:

1 563,503,315
-1 563,503,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151135656131,6273,0658,13569,269183,851346,345919,255997,3514,986,755112,700,663563,503,315
-1-5-113-565-613-1,627-3,065-8,135-69,269-183,851-346,345-919,255-997,351-4,986,755-112,700,663-563,503,315

More Examples

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