Q: What are the factor combinations of the number 97,645?
A:
Positive:
1 x 976455 x 1952959 x 1655295 x 331
Negative:
-1 x -97645-5 x -19529-59 x -1655-295 x -331
A:
Positive:
1 x 976455 x 1952959 x 1655295 x 331
Negative:
-1 x -97645-5 x -19529-59 x -1655-295 x -331
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 97,645, 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 | 97,645 | |
-1 | -97,645 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,645.
Example:
1 x 97,645 = 97,645
and
-1 x -97,645 = 97,645
Notice both answers equal 97,645
With that explanation out of the way, let's continue. Next, we take the number 97,645 and divide it by 2:
97,645 ÷ 2 = 48,822.5
If the quotient is a whole number, then 2 and 48,822.5 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 | 97,645 | |
-1 | -97,645 |
Now, we try dividing 97,645 by 3:
97,645 ÷ 3 = 32,548.3333
If the quotient is a whole number, then 3 and 32,548.3333 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 | 97,645 | |
-1 | -97,645 |
Let's try dividing by 4:
97,645 ÷ 4 = 24,411.25
If the quotient is a whole number, then 4 and 24,411.25 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 | 97,645 | |
-1 | 97,645 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 295 | 331 | 1,655 | 19,529 | 97,645 |
-1 | -5 | -59 | -295 | -331 | -1,655 | -19,529 | -97,645 |
Here are some more numbers to try:
Try the factor calculator