Q: What are the factor combinations of the number 62,651?
A:
Positive:
1 x 6265131 x 202143 x 145747 x 1333
Negative:
-1 x -62651-31 x -2021-43 x -1457-47 x -1333
A:
Positive:
1 x 6265131 x 202143 x 145747 x 1333
Negative:
-1 x -62651-31 x -2021-43 x -1457-47 x -1333
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 62,651, 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 | 62,651 | |
-1 | -62,651 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 62,651.
Example:
1 x 62,651 = 62,651
and
-1 x -62,651 = 62,651
Notice both answers equal 62,651
With that explanation out of the way, let's continue. Next, we take the number 62,651 and divide it by 2:
62,651 ÷ 2 = 31,325.5
If the quotient is a whole number, then 2 and 31,325.5 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 | 62,651 | |
-1 | -62,651 |
Now, we try dividing 62,651 by 3:
62,651 ÷ 3 = 20,883.6667
If the quotient is a whole number, then 3 and 20,883.6667 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 | 62,651 | |
-1 | -62,651 |
Let's try dividing by 4:
62,651 ÷ 4 = 15,662.75
If the quotient is a whole number, then 4 and 15,662.75 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 | 62,651 | |
-1 | 62,651 |
If you did it right, you will end up with this table:
1 | 31 | 43 | 47 | 1,333 | 1,457 | 2,021 | 62,651 |
-1 | -31 | -43 | -47 | -1,333 | -1,457 | -2,021 | -62,651 |
Here are some more numbers to try:
Try the factor calculator