Q: What are the factor combinations of the number 47,357?
A:
Positive:
1 x 4735723 x 205929 x 163371 x 667
Negative:
-1 x -47357-23 x -2059-29 x -1633-71 x -667
A:
Positive:
1 x 4735723 x 205929 x 163371 x 667
Negative:
-1 x -47357-23 x -2059-29 x -1633-71 x -667
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 47,357, 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 | 47,357 | |
-1 | -47,357 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 47,357.
Example:
1 x 47,357 = 47,357
and
-1 x -47,357 = 47,357
Notice both answers equal 47,357
With that explanation out of the way, let's continue. Next, we take the number 47,357 and divide it by 2:
47,357 ÷ 2 = 23,678.5
If the quotient is a whole number, then 2 and 23,678.5 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 | 47,357 | |
-1 | -47,357 |
Now, we try dividing 47,357 by 3:
47,357 ÷ 3 = 15,785.6667
If the quotient is a whole number, then 3 and 15,785.6667 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 | 47,357 | |
-1 | -47,357 |
Let's try dividing by 4:
47,357 ÷ 4 = 11,839.25
If the quotient is a whole number, then 4 and 11,839.25 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 | 47,357 | |
-1 | 47,357 |
If you did it right, you will end up with this table:
1 | 23 | 29 | 71 | 667 | 1,633 | 2,059 | 47,357 |
-1 | -23 | -29 | -71 | -667 | -1,633 | -2,059 | -47,357 |
Here are some more numbers to try:
Try the factor calculator