Q: What are the factor combinations of the number 95,669?
A:
Positive:
1 x 956697 x 1366779 x 1211173 x 553
Negative:
-1 x -95669-7 x -13667-79 x -1211-173 x -553
A:
Positive:
1 x 956697 x 1366779 x 1211173 x 553
Negative:
-1 x -95669-7 x -13667-79 x -1211-173 x -553
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 95,669, 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 | 95,669 | |
-1 | -95,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 95,669.
Example:
1 x 95,669 = 95,669
and
-1 x -95,669 = 95,669
Notice both answers equal 95,669
With that explanation out of the way, let's continue. Next, we take the number 95,669 and divide it by 2:
95,669 ÷ 2 = 47,834.5
If the quotient is a whole number, then 2 and 47,834.5 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 | 95,669 | |
-1 | -95,669 |
Now, we try dividing 95,669 by 3:
95,669 ÷ 3 = 31,889.6667
If the quotient is a whole number, then 3 and 31,889.6667 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 | 95,669 | |
-1 | -95,669 |
Let's try dividing by 4:
95,669 ÷ 4 = 23,917.25
If the quotient is a whole number, then 4 and 23,917.25 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 | 95,669 | |
-1 | 95,669 |
If you did it right, you will end up with this table:
1 | 7 | 79 | 173 | 553 | 1,211 | 13,667 | 95,669 |
-1 | -7 | -79 | -173 | -553 | -1,211 | -13,667 | -95,669 |
Here are some more numbers to try:
Try the factor calculator