Q: What are the factor combinations of the number 44,473?
A:
Positive:
1 x 4447311 x 404313 x 3421143 x 311
Negative:
-1 x -44473-11 x -4043-13 x -3421-143 x -311
A:
Positive:
1 x 4447311 x 404313 x 3421143 x 311
Negative:
-1 x -44473-11 x -4043-13 x -3421-143 x -311
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 44,473, 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 | 44,473 | |
-1 | -44,473 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,473.
Example:
1 x 44,473 = 44,473
and
-1 x -44,473 = 44,473
Notice both answers equal 44,473
With that explanation out of the way, let's continue. Next, we take the number 44,473 and divide it by 2:
44,473 ÷ 2 = 22,236.5
If the quotient is a whole number, then 2 and 22,236.5 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 | 44,473 | |
-1 | -44,473 |
Now, we try dividing 44,473 by 3:
44,473 ÷ 3 = 14,824.3333
If the quotient is a whole number, then 3 and 14,824.3333 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 | 44,473 | |
-1 | -44,473 |
Let's try dividing by 4:
44,473 ÷ 4 = 11,118.25
If the quotient is a whole number, then 4 and 11,118.25 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 | 44,473 | |
-1 | 44,473 |
If you did it right, you will end up with this table:
1 | 11 | 13 | 143 | 311 | 3,421 | 4,043 | 44,473 |
-1 | -11 | -13 | -143 | -311 | -3,421 | -4,043 | -44,473 |
Here are some more numbers to try:
Try the factor calculator