Q: What are the factor combinations of the number 945,947?
A:
Positive:
1 x 94594759 x 16033
Negative:
-1 x -945947-59 x -16033
A:
Positive:
1 x 94594759 x 16033
Negative:
-1 x -945947-59 x -16033
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 945,947, 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 | 945,947 | |
-1 | -945,947 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 945,947.
Example:
1 x 945,947 = 945,947
and
-1 x -945,947 = 945,947
Notice both answers equal 945,947
With that explanation out of the way, let's continue. Next, we take the number 945,947 and divide it by 2:
945,947 ÷ 2 = 472,973.5
If the quotient is a whole number, then 2 and 472,973.5 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 | 945,947 | |
-1 | -945,947 |
Now, we try dividing 945,947 by 3:
945,947 ÷ 3 = 315,315.6667
If the quotient is a whole number, then 3 and 315,315.6667 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 | 945,947 | |
-1 | -945,947 |
Let's try dividing by 4:
945,947 ÷ 4 = 236,486.75
If the quotient is a whole number, then 4 and 236,486.75 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 | 945,947 | |
-1 | 945,947 |
If you did it right, you will end up with this table:
1 | 59 | 16,033 | 945,947 |
-1 | -59 | -16,033 | -945,947 |
Here are some more numbers to try:
Try the factor calculator