Q: What are the factor combinations of the number 44,387?
A:
Positive:
1 x 443877 x 634117 x 2611119 x 373
Negative:
-1 x -44387-7 x -6341-17 x -2611-119 x -373
A:
Positive:
1 x 443877 x 634117 x 2611119 x 373
Negative:
-1 x -44387-7 x -6341-17 x -2611-119 x -373
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 44,387, 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 | 44,387 | |
-1 | -44,387 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,387.
Example:
1 x 44,387 = 44,387
and
-1 x -44,387 = 44,387
Notice both answers equal 44,387
With that explanation out of the way, let's continue. Next, we take the number 44,387 and divide it by 2:
44,387 ÷ 2 = 22,193.5
If the quotient is a whole number, then 2 and 22,193.5 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 | 44,387 | |
-1 | -44,387 |
Now, we try dividing 44,387 by 3:
44,387 ÷ 3 = 14,795.6667
If the quotient is a whole number, then 3 and 14,795.6667 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 | 44,387 | |
-1 | -44,387 |
Let's try dividing by 4:
44,387 ÷ 4 = 11,096.75
If the quotient is a whole number, then 4 and 11,096.75 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 | 44,387 | |
-1 | 44,387 |
If you did it right, you will end up with this table:
1 | 7 | 17 | 119 | 373 | 2,611 | 6,341 | 44,387 |
-1 | -7 | -17 | -119 | -373 | -2,611 | -6,341 | -44,387 |
Here are some more numbers to try:
Try the factor calculator