Q: What are the factor combinations of the number 16,465?
A:
Positive:
1 x 164655 x 329337 x 44589 x 185
Negative:
-1 x -16465-5 x -3293-37 x -445-89 x -185
A:
Positive:
1 x 164655 x 329337 x 44589 x 185
Negative:
-1 x -16465-5 x -3293-37 x -445-89 x -185
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 16,465, 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 | 16,465 | |
-1 | -16,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 16,465.
Example:
1 x 16,465 = 16,465
and
-1 x -16,465 = 16,465
Notice both answers equal 16,465
With that explanation out of the way, let's continue. Next, we take the number 16,465 and divide it by 2:
16,465 ÷ 2 = 8,232.5
If the quotient is a whole number, then 2 and 8,232.5 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 | 16,465 | |
-1 | -16,465 |
Now, we try dividing 16,465 by 3:
16,465 ÷ 3 = 5,488.3333
If the quotient is a whole number, then 3 and 5,488.3333 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 | 16,465 | |
-1 | -16,465 |
Let's try dividing by 4:
16,465 ÷ 4 = 4,116.25
If the quotient is a whole number, then 4 and 4,116.25 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 | 16,465 | |
-1 | 16,465 |
If you did it right, you will end up with this table:
1 | 5 | 37 | 89 | 185 | 445 | 3,293 | 16,465 |
-1 | -5 | -37 | -89 | -185 | -445 | -3,293 | -16,465 |
Here are some more numbers to try:
Try the factor calculator