Q: What are the factor combinations of the number 531,103,771?
A:
Positive:
1 x 53110377111 x 48282161
Negative:
-1 x -531103771-11 x -48282161
A:
Positive:
1 x 53110377111 x 48282161
Negative:
-1 x -531103771-11 x -48282161
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 531,103,771, 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 | 531,103,771 | |
-1 | -531,103,771 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 531,103,771.
Example:
1 x 531,103,771 = 531,103,771
and
-1 x -531,103,771 = 531,103,771
Notice both answers equal 531,103,771
With that explanation out of the way, let's continue. Next, we take the number 531,103,771 and divide it by 2:
531,103,771 ÷ 2 = 265,551,885.5
If the quotient is a whole number, then 2 and 265,551,885.5 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 | 531,103,771 | |
-1 | -531,103,771 |
Now, we try dividing 531,103,771 by 3:
531,103,771 ÷ 3 = 177,034,590.3333
If the quotient is a whole number, then 3 and 177,034,590.3333 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 | 531,103,771 | |
-1 | -531,103,771 |
Let's try dividing by 4:
531,103,771 ÷ 4 = 132,775,942.75
If the quotient is a whole number, then 4 and 132,775,942.75 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 | 531,103,771 | |
-1 | 531,103,771 |
If you did it right, you will end up with this table:
1 | 11 | 48,282,161 | 531,103,771 |
-1 | -11 | -48,282,161 | -531,103,771 |
Here are some more numbers to try:
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