Q: What are the factor combinations of the number 94,407?
A:
Positive:
1 x 944073 x 31469
Negative:
-1 x -94407-3 x -31469
A:
Positive:
1 x 944073 x 31469
Negative:
-1 x -94407-3 x -31469
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 94,407, 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 | 94,407 | |
-1 | -94,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 94,407.
Example:
1 x 94,407 = 94,407
and
-1 x -94,407 = 94,407
Notice both answers equal 94,407
With that explanation out of the way, let's continue. Next, we take the number 94,407 and divide it by 2:
94,407 ÷ 2 = 47,203.5
If the quotient is a whole number, then 2 and 47,203.5 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 | 94,407 | |
-1 | -94,407 |
Now, we try dividing 94,407 by 3:
94,407 ÷ 3 = 31,469
If the quotient is a whole number, then 3 and 31,469 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
1 | 3 | 31,469 | 94,407 | |
-1 | -3 | -31,469 | -94,407 |
Let's try dividing by 4:
94,407 ÷ 4 = 23,601.75
If the quotient is a whole number, then 4 and 23,601.75 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 | 3 | 31,469 | 94,407 | |
-1 | -3 | -31,469 | 94,407 |
If you did it right, you will end up with this table:
1 | 3 | 31,469 | 94,407 |
-1 | -3 | -31,469 | -94,407 |
Here are some more numbers to try:
Try the factor calculator