Q: What are the factor combinations of the number 45,565?
A:
Positive:
1 x 455655 x 911313 x 350565 x 701
Negative:
-1 x -45565-5 x -9113-13 x -3505-65 x -701
A:
Positive:
1 x 455655 x 911313 x 350565 x 701
Negative:
-1 x -45565-5 x -9113-13 x -3505-65 x -701
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 45,565, 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 | 45,565 | |
-1 | -45,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,565.
Example:
1 x 45,565 = 45,565
and
-1 x -45,565 = 45,565
Notice both answers equal 45,565
With that explanation out of the way, let's continue. Next, we take the number 45,565 and divide it by 2:
45,565 ÷ 2 = 22,782.5
If the quotient is a whole number, then 2 and 22,782.5 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 | 45,565 | |
-1 | -45,565 |
Now, we try dividing 45,565 by 3:
45,565 ÷ 3 = 15,188.3333
If the quotient is a whole number, then 3 and 15,188.3333 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 | 45,565 | |
-1 | -45,565 |
Let's try dividing by 4:
45,565 ÷ 4 = 11,391.25
If the quotient is a whole number, then 4 and 11,391.25 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 | 45,565 | |
-1 | 45,565 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 701 | 3,505 | 9,113 | 45,565 |
-1 | -5 | -13 | -65 | -701 | -3,505 | -9,113 | -45,565 |
Here are some more numbers to try:
Try the factor calculator