Q: What are the factor combinations of the number 563,012,861?

 A:
Positive:   1 x 56301286141 x 137320211427 x 3945439623 x 58507
Negative: -1 x -563012861-41 x -13732021-1427 x -394543-9623 x -58507


How do I find the factor combinations of the number 563,012,861?

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 563,012,861, 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.

1 563,012,861
-1 -563,012,861

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 563,012,861.

Example:
1 x 563,012,861 = 563,012,861
and
-1 x -563,012,861 = 563,012,861
Notice both answers equal 563,012,861

With that explanation out of the way, let's continue. Next, we take the number 563,012,861 and divide it by 2:

563,012,861 ÷ 2 = 281,506,430.5

If the quotient is a whole number, then 2 and 281,506,430.5 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:

1 563,012,861
-1 -563,012,861

Now, we try dividing 563,012,861 by 3:

563,012,861 ÷ 3 = 187,670,953.6667

If the quotient is a whole number, then 3 and 187,670,953.6667 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:

1 563,012,861
-1 -563,012,861

Let's try dividing by 4:

563,012,861 ÷ 4 = 140,753,215.25

If the quotient is a whole number, then 4 and 140,753,215.25 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:

1 563,012,861
-1 563,012,861
Keep dividing by the next highest number until you cannot divide anymore.

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

1411,4279,62358,507394,54313,732,021563,012,861
-1-41-1,427-9,623-58,507-394,543-13,732,021-563,012,861

More Examples

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