Q: What are the factor combinations of the number 564,664,543?

 A:
Positive:   1 x 56466454367 x 8427829137 x 4121639227 x 2487509271 x 20836339179 x 6151715209 x 3712718157 x 31099
Negative: -1 x -564664543-67 x -8427829-137 x -4121639-227 x -2487509-271 x -2083633-9179 x -61517-15209 x -37127-18157 x -31099


How do I find the factor combinations of the number 564,664,543?

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 564,664,543, 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.

1 564,664,543
-1 -564,664,543

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 564,664,543.

Example:
1 x 564,664,543 = 564,664,543
and
-1 x -564,664,543 = 564,664,543
Notice both answers equal 564,664,543

With that explanation out of the way, let's continue. Next, we take the number 564,664,543 and divide it by 2:

564,664,543 ÷ 2 = 282,332,271.5

If the quotient is a whole number, then 2 and 282,332,271.5 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:

1 564,664,543
-1 -564,664,543

Now, we try dividing 564,664,543 by 3:

564,664,543 ÷ 3 = 188,221,514.3333

If the quotient is a whole number, then 3 and 188,221,514.3333 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:

1 564,664,543
-1 -564,664,543

Let's try dividing by 4:

564,664,543 ÷ 4 = 141,166,135.75

If the quotient is a whole number, then 4 and 141,166,135.75 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:

1 564,664,543
-1 564,664,543
Keep dividing by the next highest number until you cannot divide anymore.

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

1671372272719,17915,20918,15731,09937,12761,5172,083,6332,487,5094,121,6398,427,829564,664,543
-1-67-137-227-271-9,179-15,209-18,157-31,099-37,127-61,517-2,083,633-2,487,509-4,121,639-8,427,829-564,664,543

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