Q: What are the factor combinations of the number 56,245?
A:
Positive:
1 x 562455 x 112497 x 803535 x 1607
Negative:
-1 x -56245-5 x -11249-7 x -8035-35 x -1607
A:
Positive:
1 x 562455 x 112497 x 803535 x 1607
Negative:
-1 x -56245-5 x -11249-7 x -8035-35 x -1607
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 56,245, 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 | 56,245 | |
-1 | -56,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 56,245.
Example:
1 x 56,245 = 56,245
and
-1 x -56,245 = 56,245
Notice both answers equal 56,245
With that explanation out of the way, let's continue. Next, we take the number 56,245 and divide it by 2:
56,245 ÷ 2 = 28,122.5
If the quotient is a whole number, then 2 and 28,122.5 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 | 56,245 | |
-1 | -56,245 |
Now, we try dividing 56,245 by 3:
56,245 ÷ 3 = 18,748.3333
If the quotient is a whole number, then 3 and 18,748.3333 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 | 56,245 | |
-1 | -56,245 |
Let's try dividing by 4:
56,245 ÷ 4 = 14,061.25
If the quotient is a whole number, then 4 and 14,061.25 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 | 56,245 | |
-1 | 56,245 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 1,607 | 8,035 | 11,249 | 56,245 |
-1 | -5 | -7 | -35 | -1,607 | -8,035 | -11,249 | -56,245 |
Here are some more numbers to try:
Try the factor calculator