Q: What are the factor combinations of the number 77,405?
A:
Positive:
1 x 774055 x 15481113 x 685137 x 565
Negative:
-1 x -77405-5 x -15481-113 x -685-137 x -565
A:
Positive:
1 x 774055 x 15481113 x 685137 x 565
Negative:
-1 x -77405-5 x -15481-113 x -685-137 x -565
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 77,405, 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 | 77,405 | |
-1 | -77,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,405.
Example:
1 x 77,405 = 77,405
and
-1 x -77,405 = 77,405
Notice both answers equal 77,405
With that explanation out of the way, let's continue. Next, we take the number 77,405 and divide it by 2:
77,405 ÷ 2 = 38,702.5
If the quotient is a whole number, then 2 and 38,702.5 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 | 77,405 | |
-1 | -77,405 |
Now, we try dividing 77,405 by 3:
77,405 ÷ 3 = 25,801.6667
If the quotient is a whole number, then 3 and 25,801.6667 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 | 77,405 | |
-1 | -77,405 |
Let's try dividing by 4:
77,405 ÷ 4 = 19,351.25
If the quotient is a whole number, then 4 and 19,351.25 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 | 77,405 | |
-1 | 77,405 |
If you did it right, you will end up with this table:
1 | 5 | 113 | 137 | 565 | 685 | 15,481 | 77,405 |
-1 | -5 | -113 | -137 | -565 | -685 | -15,481 | -77,405 |
Here are some more numbers to try:
Try the factor calculator