Q: What are the factor combinations of the number 57,953?
A:
Positive:
1 x 579537 x 827917 x 3409119 x 487
Negative:
-1 x -57953-7 x -8279-17 x -3409-119 x -487
A:
Positive:
1 x 579537 x 827917 x 3409119 x 487
Negative:
-1 x -57953-7 x -8279-17 x -3409-119 x -487
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 57,953, 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 | 57,953 | |
-1 | -57,953 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 57,953.
Example:
1 x 57,953 = 57,953
and
-1 x -57,953 = 57,953
Notice both answers equal 57,953
With that explanation out of the way, let's continue. Next, we take the number 57,953 and divide it by 2:
57,953 ÷ 2 = 28,976.5
If the quotient is a whole number, then 2 and 28,976.5 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 | 57,953 | |
-1 | -57,953 |
Now, we try dividing 57,953 by 3:
57,953 ÷ 3 = 19,317.6667
If the quotient is a whole number, then 3 and 19,317.6667 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 | 57,953 | |
-1 | -57,953 |
Let's try dividing by 4:
57,953 ÷ 4 = 14,488.25
If the quotient is a whole number, then 4 and 14,488.25 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 | 57,953 | |
-1 | 57,953 |
If you did it right, you will end up with this table:
1 | 7 | 17 | 119 | 487 | 3,409 | 8,279 | 57,953 |
-1 | -7 | -17 | -119 | -487 | -3,409 | -8,279 | -57,953 |
Here are some more numbers to try:
Try the factor calculator