Q: What are the factor combinations of the number 43,769?
A:
Positive:
1 x 4376911 x 397923 x 1903173 x 253
Negative:
-1 x -43769-11 x -3979-23 x -1903-173 x -253
A:
Positive:
1 x 4376911 x 397923 x 1903173 x 253
Negative:
-1 x -43769-11 x -3979-23 x -1903-173 x -253
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 43,769, 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 | 43,769 | |
-1 | -43,769 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,769.
Example:
1 x 43,769 = 43,769
and
-1 x -43,769 = 43,769
Notice both answers equal 43,769
With that explanation out of the way, let's continue. Next, we take the number 43,769 and divide it by 2:
43,769 ÷ 2 = 21,884.5
If the quotient is a whole number, then 2 and 21,884.5 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 | 43,769 | |
-1 | -43,769 |
Now, we try dividing 43,769 by 3:
43,769 ÷ 3 = 14,589.6667
If the quotient is a whole number, then 3 and 14,589.6667 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 | 43,769 | |
-1 | -43,769 |
Let's try dividing by 4:
43,769 ÷ 4 = 10,942.25
If the quotient is a whole number, then 4 and 10,942.25 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 | 43,769 | |
-1 | 43,769 |
If you did it right, you will end up with this table:
1 | 11 | 23 | 173 | 253 | 1,903 | 3,979 | 43,769 |
-1 | -11 | -23 | -173 | -253 | -1,903 | -3,979 | -43,769 |
Here are some more numbers to try:
Try the factor calculator