Q: What are the factor combinations of the number 960,547?
A:
Positive:
1 x 9605477 x 13722149 x 19603
Negative:
-1 x -960547-7 x -137221-49 x -19603
A:
Positive:
1 x 9605477 x 13722149 x 19603
Negative:
-1 x -960547-7 x -137221-49 x -19603
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 960,547, 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 | 960,547 | |
-1 | -960,547 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 960,547.
Example:
1 x 960,547 = 960,547
and
-1 x -960,547 = 960,547
Notice both answers equal 960,547
With that explanation out of the way, let's continue. Next, we take the number 960,547 and divide it by 2:
960,547 ÷ 2 = 480,273.5
If the quotient is a whole number, then 2 and 480,273.5 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 | 960,547 | |
-1 | -960,547 |
Now, we try dividing 960,547 by 3:
960,547 ÷ 3 = 320,182.3333
If the quotient is a whole number, then 3 and 320,182.3333 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 | 960,547 | |
-1 | -960,547 |
Let's try dividing by 4:
960,547 ÷ 4 = 240,136.75
If the quotient is a whole number, then 4 and 240,136.75 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 | 960,547 | |
-1 | 960,547 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 19,603 | 137,221 | 960,547 |
-1 | -7 | -49 | -19,603 | -137,221 | -960,547 |
Here are some more numbers to try:
Try the factor calculator