Q: What are the factor combinations of the number 143,057?
A:
Positive:
1 x 14305729 x 4933
Negative:
-1 x -143057-29 x -4933
A:
Positive:
1 x 14305729 x 4933
Negative:
-1 x -143057-29 x -4933
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 143,057, 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 | 143,057 | |
-1 | -143,057 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 143,057.
Example:
1 x 143,057 = 143,057
and
-1 x -143,057 = 143,057
Notice both answers equal 143,057
With that explanation out of the way, let's continue. Next, we take the number 143,057 and divide it by 2:
143,057 ÷ 2 = 71,528.5
If the quotient is a whole number, then 2 and 71,528.5 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 | 143,057 | |
-1 | -143,057 |
Now, we try dividing 143,057 by 3:
143,057 ÷ 3 = 47,685.6667
If the quotient is a whole number, then 3 and 47,685.6667 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 | 143,057 | |
-1 | -143,057 |
Let's try dividing by 4:
143,057 ÷ 4 = 35,764.25
If the quotient is a whole number, then 4 and 35,764.25 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 | 143,057 | |
-1 | 143,057 |
If you did it right, you will end up with this table:
1 | 29 | 4,933 | 143,057 |
-1 | -29 | -4,933 | -143,057 |
Here are some more numbers to try:
Try the factor calculator