Q: What are the factor combinations of the number 56,953?
A:
Positive:
1 x 5695313 x 4381169 x 337
Negative:
-1 x -56953-13 x -4381-169 x -337
A:
Positive:
1 x 5695313 x 4381169 x 337
Negative:
-1 x -56953-13 x -4381-169 x -337
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 56,953, 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 | 56,953 | |
-1 | -56,953 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 56,953.
Example:
1 x 56,953 = 56,953
and
-1 x -56,953 = 56,953
Notice both answers equal 56,953
With that explanation out of the way, let's continue. Next, we take the number 56,953 and divide it by 2:
56,953 ÷ 2 = 28,476.5
If the quotient is a whole number, then 2 and 28,476.5 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 | 56,953 | |
-1 | -56,953 |
Now, we try dividing 56,953 by 3:
56,953 ÷ 3 = 18,984.3333
If the quotient is a whole number, then 3 and 18,984.3333 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 | 56,953 | |
-1 | -56,953 |
Let's try dividing by 4:
56,953 ÷ 4 = 14,238.25
If the quotient is a whole number, then 4 and 14,238.25 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 | 56,953 | |
-1 | 56,953 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 337 | 4,381 | 56,953 |
-1 | -13 | -169 | -337 | -4,381 | -56,953 |
Here are some more numbers to try:
Try the factor calculator