Q: What are the factor combinations of the number 53,179?
A:
Positive:
1 x 531797 x 759771 x 749107 x 497
Negative:
-1 x -53179-7 x -7597-71 x -749-107 x -497
A:
Positive:
1 x 531797 x 759771 x 749107 x 497
Negative:
-1 x -53179-7 x -7597-71 x -749-107 x -497
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 53,179, 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 | 53,179 | |
-1 | -53,179 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,179.
Example:
1 x 53,179 = 53,179
and
-1 x -53,179 = 53,179
Notice both answers equal 53,179
With that explanation out of the way, let's continue. Next, we take the number 53,179 and divide it by 2:
53,179 ÷ 2 = 26,589.5
If the quotient is a whole number, then 2 and 26,589.5 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 | 53,179 | |
-1 | -53,179 |
Now, we try dividing 53,179 by 3:
53,179 ÷ 3 = 17,726.3333
If the quotient is a whole number, then 3 and 17,726.3333 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 | 53,179 | |
-1 | -53,179 |
Let's try dividing by 4:
53,179 ÷ 4 = 13,294.75
If the quotient is a whole number, then 4 and 13,294.75 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 | 53,179 | |
-1 | 53,179 |
If you did it right, you will end up with this table:
1 | 7 | 71 | 107 | 497 | 749 | 7,597 | 53,179 |
-1 | -7 | -71 | -107 | -497 | -749 | -7,597 | -53,179 |
Here are some more numbers to try:
Try the factor calculator