Q: What are the factor combinations of the number 51,947?
A:
Positive:
1 x 519477 x 742141 x 1267181 x 287
Negative:
-1 x -51947-7 x -7421-41 x -1267-181 x -287
A:
Positive:
1 x 519477 x 742141 x 1267181 x 287
Negative:
-1 x -51947-7 x -7421-41 x -1267-181 x -287
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 51,947, 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 | 51,947 | |
-1 | -51,947 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 51,947.
Example:
1 x 51,947 = 51,947
and
-1 x -51,947 = 51,947
Notice both answers equal 51,947
With that explanation out of the way, let's continue. Next, we take the number 51,947 and divide it by 2:
51,947 ÷ 2 = 25,973.5
If the quotient is a whole number, then 2 and 25,973.5 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 | 51,947 | |
-1 | -51,947 |
Now, we try dividing 51,947 by 3:
51,947 ÷ 3 = 17,315.6667
If the quotient is a whole number, then 3 and 17,315.6667 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 | 51,947 | |
-1 | -51,947 |
Let's try dividing by 4:
51,947 ÷ 4 = 12,986.75
If the quotient is a whole number, then 4 and 12,986.75 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 | 51,947 | |
-1 | 51,947 |
If you did it right, you will end up with this table:
1 | 7 | 41 | 181 | 287 | 1,267 | 7,421 | 51,947 |
-1 | -7 | -41 | -181 | -287 | -1,267 | -7,421 | -51,947 |
Here are some more numbers to try:
Try the factor calculator