Q: What are the factor combinations of the number 385,547?
A:
Positive:
1 x 38554731 x 12437
Negative:
-1 x -385547-31 x -12437
A:
Positive:
1 x 38554731 x 12437
Negative:
-1 x -385547-31 x -12437
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 385,547, 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 | 385,547 | |
-1 | -385,547 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 385,547.
Example:
1 x 385,547 = 385,547
and
-1 x -385,547 = 385,547
Notice both answers equal 385,547
With that explanation out of the way, let's continue. Next, we take the number 385,547 and divide it by 2:
385,547 ÷ 2 = 192,773.5
If the quotient is a whole number, then 2 and 192,773.5 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 | 385,547 | |
-1 | -385,547 |
Now, we try dividing 385,547 by 3:
385,547 ÷ 3 = 128,515.6667
If the quotient is a whole number, then 3 and 128,515.6667 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 | 385,547 | |
-1 | -385,547 |
Let's try dividing by 4:
385,547 ÷ 4 = 96,386.75
If the quotient is a whole number, then 4 and 96,386.75 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 | 385,547 | |
-1 | 385,547 |
If you did it right, you will end up with this table:
1 | 31 | 12,437 | 385,547 |
-1 | -31 | -12,437 | -385,547 |
Here are some more numbers to try:
Try the factor calculator