Q: What are the factor combinations of the number 94,405?
A:
Positive:
1 x 944055 x 1888179 x 1195239 x 395
Negative:
-1 x -94405-5 x -18881-79 x -1195-239 x -395
A:
Positive:
1 x 944055 x 1888179 x 1195239 x 395
Negative:
-1 x -94405-5 x -18881-79 x -1195-239 x -395
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 94,405, 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 | 94,405 | |
-1 | -94,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 94,405.
Example:
1 x 94,405 = 94,405
and
-1 x -94,405 = 94,405
Notice both answers equal 94,405
With that explanation out of the way, let's continue. Next, we take the number 94,405 and divide it by 2:
94,405 ÷ 2 = 47,202.5
If the quotient is a whole number, then 2 and 47,202.5 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 | 94,405 | |
-1 | -94,405 |
Now, we try dividing 94,405 by 3:
94,405 ÷ 3 = 31,468.3333
If the quotient is a whole number, then 3 and 31,468.3333 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 | 94,405 | |
-1 | -94,405 |
Let's try dividing by 4:
94,405 ÷ 4 = 23,601.25
If the quotient is a whole number, then 4 and 23,601.25 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 | 94,405 | |
-1 | 94,405 |
If you did it right, you will end up with this table:
1 | 5 | 79 | 239 | 395 | 1,195 | 18,881 | 94,405 |
-1 | -5 | -79 | -239 | -395 | -1,195 | -18,881 | -94,405 |
Here are some more numbers to try:
Try the factor calculator