Q: What are the factor combinations of the number 35,443?
A:
Positive:
1 x 3544323 x 154167 x 529
Negative:
-1 x -35443-23 x -1541-67 x -529
A:
Positive:
1 x 3544323 x 154167 x 529
Negative:
-1 x -35443-23 x -1541-67 x -529
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 35,443, 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 | 35,443 | |
-1 | -35,443 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,443.
Example:
1 x 35,443 = 35,443
and
-1 x -35,443 = 35,443
Notice both answers equal 35,443
With that explanation out of the way, let's continue. Next, we take the number 35,443 and divide it by 2:
35,443 ÷ 2 = 17,721.5
If the quotient is a whole number, then 2 and 17,721.5 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 | 35,443 | |
-1 | -35,443 |
Now, we try dividing 35,443 by 3:
35,443 ÷ 3 = 11,814.3333
If the quotient is a whole number, then 3 and 11,814.3333 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 | 35,443 | |
-1 | -35,443 |
Let's try dividing by 4:
35,443 ÷ 4 = 8,860.75
If the quotient is a whole number, then 4 and 8,860.75 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 | 35,443 | |
-1 | 35,443 |
If you did it right, you will end up with this table:
1 | 23 | 67 | 529 | 1,541 | 35,443 |
-1 | -23 | -67 | -529 | -1,541 | -35,443 |
Here are some more numbers to try:
Try the factor calculator