Q: What are the factor combinations of the number 42,895?
A:
Positive:
1 x 428955 x 857923 x 1865115 x 373
Negative:
-1 x -42895-5 x -8579-23 x -1865-115 x -373
A:
Positive:
1 x 428955 x 857923 x 1865115 x 373
Negative:
-1 x -42895-5 x -8579-23 x -1865-115 x -373
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 42,895, 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 | 42,895 | |
-1 | -42,895 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,895.
Example:
1 x 42,895 = 42,895
and
-1 x -42,895 = 42,895
Notice both answers equal 42,895
With that explanation out of the way, let's continue. Next, we take the number 42,895 and divide it by 2:
42,895 ÷ 2 = 21,447.5
If the quotient is a whole number, then 2 and 21,447.5 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 | 42,895 | |
-1 | -42,895 |
Now, we try dividing 42,895 by 3:
42,895 ÷ 3 = 14,298.3333
If the quotient is a whole number, then 3 and 14,298.3333 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 | 42,895 | |
-1 | -42,895 |
Let's try dividing by 4:
42,895 ÷ 4 = 10,723.75
If the quotient is a whole number, then 4 and 10,723.75 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 | 42,895 | |
-1 | 42,895 |
If you did it right, you will end up with this table:
1 | 5 | 23 | 115 | 373 | 1,865 | 8,579 | 42,895 |
-1 | -5 | -23 | -115 | -373 | -1,865 | -8,579 | -42,895 |
Here are some more numbers to try:
Try the factor calculator