Q: What are the factor combinations of the number 94,237?
A:
Positive:
1 x 9423711 x 856713 x 7249143 x 659
Negative:
-1 x -94237-11 x -8567-13 x -7249-143 x -659
A:
Positive:
1 x 9423711 x 856713 x 7249143 x 659
Negative:
-1 x -94237-11 x -8567-13 x -7249-143 x -659
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 94,237, 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 | 94,237 | |
-1 | -94,237 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 94,237.
Example:
1 x 94,237 = 94,237
and
-1 x -94,237 = 94,237
Notice both answers equal 94,237
With that explanation out of the way, let's continue. Next, we take the number 94,237 and divide it by 2:
94,237 ÷ 2 = 47,118.5
If the quotient is a whole number, then 2 and 47,118.5 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 | 94,237 | |
-1 | -94,237 |
Now, we try dividing 94,237 by 3:
94,237 ÷ 3 = 31,412.3333
If the quotient is a whole number, then 3 and 31,412.3333 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 | 94,237 | |
-1 | -94,237 |
Let's try dividing by 4:
94,237 ÷ 4 = 23,559.25
If the quotient is a whole number, then 4 and 23,559.25 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 | 94,237 | |
-1 | 94,237 |
If you did it right, you will end up with this table:
1 | 11 | 13 | 143 | 659 | 7,249 | 8,567 | 94,237 |
-1 | -11 | -13 | -143 | -659 | -7,249 | -8,567 | -94,237 |
Here are some more numbers to try:
Try the factor calculator