Q: What are the factor combinations of the number 53,641?
A:
Positive:
1 x 536417 x 766379 x 67997 x 553
Negative:
-1 x -53641-7 x -7663-79 x -679-97 x -553
A:
Positive:
1 x 536417 x 766379 x 67997 x 553
Negative:
-1 x -53641-7 x -7663-79 x -679-97 x -553
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 53,641, 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 | 53,641 | |
-1 | -53,641 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,641.
Example:
1 x 53,641 = 53,641
and
-1 x -53,641 = 53,641
Notice both answers equal 53,641
With that explanation out of the way, let's continue. Next, we take the number 53,641 and divide it by 2:
53,641 ÷ 2 = 26,820.5
If the quotient is a whole number, then 2 and 26,820.5 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 | 53,641 | |
-1 | -53,641 |
Now, we try dividing 53,641 by 3:
53,641 ÷ 3 = 17,880.3333
If the quotient is a whole number, then 3 and 17,880.3333 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 | 53,641 | |
-1 | -53,641 |
Let's try dividing by 4:
53,641 ÷ 4 = 13,410.25
If the quotient is a whole number, then 4 and 13,410.25 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 | 53,641 | |
-1 | 53,641 |
If you did it right, you will end up with this table:
1 | 7 | 79 | 97 | 553 | 679 | 7,663 | 53,641 |
-1 | -7 | -79 | -97 | -553 | -679 | -7,663 | -53,641 |
Here are some more numbers to try:
Try the factor calculator