Q: What are the factor combinations of the number 75,061?
A:
Positive:
1 x 750617 x 10723
Negative:
-1 x -75061-7 x -10723
A:
Positive:
1 x 750617 x 10723
Negative:
-1 x -75061-7 x -10723
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 75,061, 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 | 75,061 | |
-1 | -75,061 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,061.
Example:
1 x 75,061 = 75,061
and
-1 x -75,061 = 75,061
Notice both answers equal 75,061
With that explanation out of the way, let's continue. Next, we take the number 75,061 and divide it by 2:
75,061 ÷ 2 = 37,530.5
If the quotient is a whole number, then 2 and 37,530.5 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 | 75,061 | |
-1 | -75,061 |
Now, we try dividing 75,061 by 3:
75,061 ÷ 3 = 25,020.3333
If the quotient is a whole number, then 3 and 25,020.3333 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 | 75,061 | |
-1 | -75,061 |
Let's try dividing by 4:
75,061 ÷ 4 = 18,765.25
If the quotient is a whole number, then 4 and 18,765.25 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 | 75,061 | |
-1 | 75,061 |
If you did it right, you will end up with this table:
1 | 7 | 10,723 | 75,061 |
-1 | -7 | -10,723 | -75,061 |
Here are some more numbers to try:
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