Q: What are the factor combinations of the number 53,215?
A:
Positive:
1 x 532155 x 1064329 x 1835145 x 367
Negative:
-1 x -53215-5 x -10643-29 x -1835-145 x -367
A:
Positive:
1 x 532155 x 1064329 x 1835145 x 367
Negative:
-1 x -53215-5 x -10643-29 x -1835-145 x -367
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 53,215, 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 | 53,215 | |
-1 | -53,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,215.
Example:
1 x 53,215 = 53,215
and
-1 x -53,215 = 53,215
Notice both answers equal 53,215
With that explanation out of the way, let's continue. Next, we take the number 53,215 and divide it by 2:
53,215 ÷ 2 = 26,607.5
If the quotient is a whole number, then 2 and 26,607.5 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 | 53,215 | |
-1 | -53,215 |
Now, we try dividing 53,215 by 3:
53,215 ÷ 3 = 17,738.3333
If the quotient is a whole number, then 3 and 17,738.3333 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 | 53,215 | |
-1 | -53,215 |
Let's try dividing by 4:
53,215 ÷ 4 = 13,303.75
If the quotient is a whole number, then 4 and 13,303.75 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 | 53,215 | |
-1 | 53,215 |
If you did it right, you will end up with this table:
1 | 5 | 29 | 145 | 367 | 1,835 | 10,643 | 53,215 |
-1 | -5 | -29 | -145 | -367 | -1,835 | -10,643 | -53,215 |
Here are some more numbers to try:
Try the factor calculator