Q: What are the factor combinations of the number 564,512,321?
A:
Positive:
1 x 564512321173 x 3263077
Negative:
-1 x -564512321-173 x -3263077
A:
Positive:
1 x 564512321173 x 3263077
Negative:
-1 x -564512321-173 x -3263077
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 564,512,321, it is easier to work with a table - it's called factoring from the outside in.
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 | 564,512,321 | |
-1 | -564,512,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 564,512,321.
Example:
1 x 564,512,321 = 564,512,321
and
-1 x -564,512,321 = 564,512,321
Notice both answers equal 564,512,321
With that explanation out of the way, let's continue. Next, we take the number 564,512,321 and divide it by 2:
564,512,321 ÷ 2 = 282,256,160.5
If the quotient is a whole number, then 2 and 282,256,160.5 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 | 564,512,321 | |
-1 | -564,512,321 |
Now, we try dividing 564,512,321 by 3:
564,512,321 ÷ 3 = 188,170,773.6667
If the quotient is a whole number, then 3 and 188,170,773.6667 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 | 564,512,321 | |
-1 | -564,512,321 |
Let's try dividing by 4:
564,512,321 ÷ 4 = 141,128,080.25
If the quotient is a whole number, then 4 and 141,128,080.25 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 | 564,512,321 | |
-1 | 564,512,321 |
If you did it right, you will end up with this table:
1 | 173 | 3,263,077 | 564,512,321 |
-1 | -173 | -3,263,077 | -564,512,321 |
Here are some more numbers to try:
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