Q: What are the factor combinations of the number 626,010,109?
A:
Positive:
1 x 626010109257 x 2435837
Negative:
-1 x -626010109-257 x -2435837
A:
Positive:
1 x 626010109257 x 2435837
Negative:
-1 x -626010109-257 x -2435837
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 626,010,109, 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 | 626,010,109 | |
-1 | -626,010,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 626,010,109.
Example:
1 x 626,010,109 = 626,010,109
and
-1 x -626,010,109 = 626,010,109
Notice both answers equal 626,010,109
With that explanation out of the way, let's continue. Next, we take the number 626,010,109 and divide it by 2:
626,010,109 ÷ 2 = 313,005,054.5
If the quotient is a whole number, then 2 and 313,005,054.5 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 | 626,010,109 | |
-1 | -626,010,109 |
Now, we try dividing 626,010,109 by 3:
626,010,109 ÷ 3 = 208,670,036.3333
If the quotient is a whole number, then 3 and 208,670,036.3333 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 | 626,010,109 | |
-1 | -626,010,109 |
Let's try dividing by 4:
626,010,109 ÷ 4 = 156,502,527.25
If the quotient is a whole number, then 4 and 156,502,527.25 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 | 626,010,109 | |
-1 | 626,010,109 |
If you did it right, you will end up with this table:
1 | 257 | 2,435,837 | 626,010,109 |
-1 | -257 | -2,435,837 | -626,010,109 |
Here are some more numbers to try:
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