Q: What are the factor combinations of the number 527,675?
A:
Positive:
1 x 5276755 x 10553525 x 21107
Negative:
-1 x -527675-5 x -105535-25 x -21107
A:
Positive:
1 x 5276755 x 10553525 x 21107
Negative:
-1 x -527675-5 x -105535-25 x -21107
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 527,675, 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 | 527,675 | |
-1 | -527,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 527,675.
Example:
1 x 527,675 = 527,675
and
-1 x -527,675 = 527,675
Notice both answers equal 527,675
With that explanation out of the way, let's continue. Next, we take the number 527,675 and divide it by 2:
527,675 ÷ 2 = 263,837.5
If the quotient is a whole number, then 2 and 263,837.5 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 | 527,675 | |
-1 | -527,675 |
Now, we try dividing 527,675 by 3:
527,675 ÷ 3 = 175,891.6667
If the quotient is a whole number, then 3 and 175,891.6667 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 | 527,675 | |
-1 | -527,675 |
Let's try dividing by 4:
527,675 ÷ 4 = 131,918.75
If the quotient is a whole number, then 4 and 131,918.75 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 | 527,675 | |
-1 | 527,675 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 21,107 | 105,535 | 527,675 |
-1 | -5 | -25 | -21,107 | -105,535 | -527,675 |
Here are some more numbers to try:
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