Q: What are the factor combinations of the number 94,927?
A:
Positive:
1 x 949277 x 1356171 x 1337191 x 497
Negative:
-1 x -94927-7 x -13561-71 x -1337-191 x -497
A:
Positive:
1 x 949277 x 1356171 x 1337191 x 497
Negative:
-1 x -94927-7 x -13561-71 x -1337-191 x -497
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 94,927, 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 | 94,927 | |
-1 | -94,927 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 94,927.
Example:
1 x 94,927 = 94,927
and
-1 x -94,927 = 94,927
Notice both answers equal 94,927
With that explanation out of the way, let's continue. Next, we take the number 94,927 and divide it by 2:
94,927 ÷ 2 = 47,463.5
If the quotient is a whole number, then 2 and 47,463.5 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 | 94,927 | |
-1 | -94,927 |
Now, we try dividing 94,927 by 3:
94,927 ÷ 3 = 31,642.3333
If the quotient is a whole number, then 3 and 31,642.3333 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 | 94,927 | |
-1 | -94,927 |
Let's try dividing by 4:
94,927 ÷ 4 = 23,731.75
If the quotient is a whole number, then 4 and 23,731.75 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 | 94,927 | |
-1 | 94,927 |
If you did it right, you will end up with this table:
1 | 7 | 71 | 191 | 497 | 1,337 | 13,561 | 94,927 |
-1 | -7 | -71 | -191 | -497 | -1,337 | -13,561 | -94,927 |
Here are some more numbers to try:
Try the factor calculator