Q: What are the factor combinations of the number 97,465?
A:
Positive:
1 x 974655 x 19493101 x 965193 x 505
Negative:
-1 x -97465-5 x -19493-101 x -965-193 x -505
A:
Positive:
1 x 974655 x 19493101 x 965193 x 505
Negative:
-1 x -97465-5 x -19493-101 x -965-193 x -505
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 97,465, 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 | 97,465 | |
-1 | -97,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,465.
Example:
1 x 97,465 = 97,465
and
-1 x -97,465 = 97,465
Notice both answers equal 97,465
With that explanation out of the way, let's continue. Next, we take the number 97,465 and divide it by 2:
97,465 ÷ 2 = 48,732.5
If the quotient is a whole number, then 2 and 48,732.5 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 | 97,465 | |
-1 | -97,465 |
Now, we try dividing 97,465 by 3:
97,465 ÷ 3 = 32,488.3333
If the quotient is a whole number, then 3 and 32,488.3333 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 | 97,465 | |
-1 | -97,465 |
Let's try dividing by 4:
97,465 ÷ 4 = 24,366.25
If the quotient is a whole number, then 4 and 24,366.25 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 | 97,465 | |
-1 | 97,465 |
If you did it right, you will end up with this table:
1 | 5 | 101 | 193 | 505 | 965 | 19,493 | 97,465 |
-1 | -5 | -101 | -193 | -505 | -965 | -19,493 | -97,465 |
Here are some more numbers to try:
Try the factor calculator