Q: What are the factor combinations of the number 624,107?
A:
Positive:
1 x 62410711 x 56737
Negative:
-1 x -624107-11 x -56737
A:
Positive:
1 x 62410711 x 56737
Negative:
-1 x -624107-11 x -56737
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 624,107, 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 | 624,107 | |
-1 | -624,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 624,107.
Example:
1 x 624,107 = 624,107
and
-1 x -624,107 = 624,107
Notice both answers equal 624,107
With that explanation out of the way, let's continue. Next, we take the number 624,107 and divide it by 2:
624,107 ÷ 2 = 312,053.5
If the quotient is a whole number, then 2 and 312,053.5 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 | 624,107 | |
-1 | -624,107 |
Now, we try dividing 624,107 by 3:
624,107 ÷ 3 = 208,035.6667
If the quotient is a whole number, then 3 and 208,035.6667 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 | 624,107 | |
-1 | -624,107 |
Let's try dividing by 4:
624,107 ÷ 4 = 156,026.75
If the quotient is a whole number, then 4 and 156,026.75 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 | 624,107 | |
-1 | 624,107 |
If you did it right, you will end up with this table:
1 | 11 | 56,737 | 624,107 |
-1 | -11 | -56,737 | -624,107 |
Here are some more numbers to try:
Try the factor calculator