Q: What are the factor combinations of the number 53,627?
A:
Positive:
1 x 536277 x 766147 x 1141163 x 329
Negative:
-1 x -53627-7 x -7661-47 x -1141-163 x -329
A:
Positive:
1 x 536277 x 766147 x 1141163 x 329
Negative:
-1 x -53627-7 x -7661-47 x -1141-163 x -329
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 53,627, 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 | 53,627 | |
-1 | -53,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,627.
Example:
1 x 53,627 = 53,627
and
-1 x -53,627 = 53,627
Notice both answers equal 53,627
With that explanation out of the way, let's continue. Next, we take the number 53,627 and divide it by 2:
53,627 ÷ 2 = 26,813.5
If the quotient is a whole number, then 2 and 26,813.5 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 | 53,627 | |
-1 | -53,627 |
Now, we try dividing 53,627 by 3:
53,627 ÷ 3 = 17,875.6667
If the quotient is a whole number, then 3 and 17,875.6667 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 | 53,627 | |
-1 | -53,627 |
Let's try dividing by 4:
53,627 ÷ 4 = 13,406.75
If the quotient is a whole number, then 4 and 13,406.75 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 | 53,627 | |
-1 | 53,627 |
If you did it right, you will end up with this table:
1 | 7 | 47 | 163 | 329 | 1,141 | 7,661 | 53,627 |
-1 | -7 | -47 | -163 | -329 | -1,141 | -7,661 | -53,627 |
Here are some more numbers to try:
Try the factor calculator