Q: What are the factor combinations of the number 563,143,867?

 A:
Positive:   1 x 56314386711 x 5119489713 x 4331875943 x 13096369143 x 3938069473 x 1190579559 x 10074136149 x 91583
Negative: -1 x -563143867-11 x -51194897-13 x -43318759-43 x -13096369-143 x -3938069-473 x -1190579-559 x -1007413-6149 x -91583


How do I find the factor combinations of the number 563,143,867?

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 563,143,867, 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.

1 563,143,867
-1 -563,143,867

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 563,143,867.

Example:
1 x 563,143,867 = 563,143,867
and
-1 x -563,143,867 = 563,143,867
Notice both answers equal 563,143,867

With that explanation out of the way, let's continue. Next, we take the number 563,143,867 and divide it by 2:

563,143,867 ÷ 2 = 281,571,933.5

If the quotient is a whole number, then 2 and 281,571,933.5 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:

1 563,143,867
-1 -563,143,867

Now, we try dividing 563,143,867 by 3:

563,143,867 ÷ 3 = 187,714,622.3333

If the quotient is a whole number, then 3 and 187,714,622.3333 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:

1 563,143,867
-1 -563,143,867

Let's try dividing by 4:

563,143,867 ÷ 4 = 140,785,966.75

If the quotient is a whole number, then 4 and 140,785,966.75 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:

1 563,143,867
-1 563,143,867
Keep dividing by the next highest number until you cannot divide anymore.

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

11113431434735596,14991,5831,007,4131,190,5793,938,06913,096,36943,318,75951,194,897563,143,867
-1-11-13-43-143-473-559-6,149-91,583-1,007,413-1,190,579-3,938,069-13,096,369-43,318,759-51,194,897-563,143,867

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