Q: What are the factor combinations of the number 770,173?
A:
Positive:
1 x 77017343 x 17911
Negative:
-1 x -770173-43 x -17911
A:
Positive:
1 x 77017343 x 17911
Negative:
-1 x -770173-43 x -17911
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 770,173, 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 | 770,173 | |
-1 | -770,173 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 770,173.
Example:
1 x 770,173 = 770,173
and
-1 x -770,173 = 770,173
Notice both answers equal 770,173
With that explanation out of the way, let's continue. Next, we take the number 770,173 and divide it by 2:
770,173 ÷ 2 = 385,086.5
If the quotient is a whole number, then 2 and 385,086.5 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 | 770,173 | |
-1 | -770,173 |
Now, we try dividing 770,173 by 3:
770,173 ÷ 3 = 256,724.3333
If the quotient is a whole number, then 3 and 256,724.3333 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 | 770,173 | |
-1 | -770,173 |
Let's try dividing by 4:
770,173 ÷ 4 = 192,543.25
If the quotient is a whole number, then 4 and 192,543.25 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 | 770,173 | |
-1 | 770,173 |
If you did it right, you will end up with this table:
1 | 43 | 17,911 | 770,173 |
-1 | -43 | -17,911 | -770,173 |
Here are some more numbers to try:
Try the factor calculator