Q: What are the factor combinations of the number 563,824,105?

 A:
Positive:   1 x 5638241055 x 11276482113 x 4337108565 x 86742171481 x 3807055857 x 962657405 x 7614119253 x 29285
Negative: -1 x -563824105-5 x -112764821-13 x -43371085-65 x -8674217-1481 x -380705-5857 x -96265-7405 x -76141-19253 x -29285


How do I find the factor combinations of the number 563,824,105?

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 563,824,105, 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.

1 563,824,105
-1 -563,824,105

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 563,824,105.

Example:
1 x 563,824,105 = 563,824,105
and
-1 x -563,824,105 = 563,824,105
Notice both answers equal 563,824,105

With that explanation out of the way, let's continue. Next, we take the number 563,824,105 and divide it by 2:

563,824,105 ÷ 2 = 281,912,052.5

If the quotient is a whole number, then 2 and 281,912,052.5 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:

1 563,824,105
-1 -563,824,105

Now, we try dividing 563,824,105 by 3:

563,824,105 ÷ 3 = 187,941,368.3333

If the quotient is a whole number, then 3 and 187,941,368.3333 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:

1 563,824,105
-1 -563,824,105

Let's try dividing by 4:

563,824,105 ÷ 4 = 140,956,026.25

If the quotient is a whole number, then 4 and 140,956,026.25 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:

1 563,824,105
-1 563,824,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,4815,8577,40519,25329,28576,14196,265380,7058,674,21743,371,085112,764,821563,824,105
-1-5-13-65-1,481-5,857-7,405-19,253-29,285-76,141-96,265-380,705-8,674,217-43,371,085-112,764,821-563,824,105

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