Q: What are the factor combinations of the number 605,971?
A:
Positive:
1 x 60597147 x 12893
Negative:
-1 x -605971-47 x -12893
A:
Positive:
1 x 60597147 x 12893
Negative:
-1 x -605971-47 x -12893
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 605,971, 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 | 605,971 | |
-1 | -605,971 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 605,971.
Example:
1 x 605,971 = 605,971
and
-1 x -605,971 = 605,971
Notice both answers equal 605,971
With that explanation out of the way, let's continue. Next, we take the number 605,971 and divide it by 2:
605,971 ÷ 2 = 302,985.5
If the quotient is a whole number, then 2 and 302,985.5 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 | 605,971 | |
-1 | -605,971 |
Now, we try dividing 605,971 by 3:
605,971 ÷ 3 = 201,990.3333
If the quotient is a whole number, then 3 and 201,990.3333 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 | 605,971 | |
-1 | -605,971 |
Let's try dividing by 4:
605,971 ÷ 4 = 151,492.75
If the quotient is a whole number, then 4 and 151,492.75 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 | 605,971 | |
-1 | 605,971 |
If you did it right, you will end up with this table:
1 | 47 | 12,893 | 605,971 |
-1 | -47 | -12,893 | -605,971 |
Here are some more numbers to try:
Try the factor calculator