Q: What are the factor combinations of the number 618,341?
A:
Positive:
1 x 61834117 x 36373
Negative:
-1 x -618341-17 x -36373
A:
Positive:
1 x 61834117 x 36373
Negative:
-1 x -618341-17 x -36373
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 618,341, 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 | 618,341 | |
-1 | -618,341 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 618,341.
Example:
1 x 618,341 = 618,341
and
-1 x -618,341 = 618,341
Notice both answers equal 618,341
With that explanation out of the way, let's continue. Next, we take the number 618,341 and divide it by 2:
618,341 ÷ 2 = 309,170.5
If the quotient is a whole number, then 2 and 309,170.5 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 | 618,341 | |
-1 | -618,341 |
Now, we try dividing 618,341 by 3:
618,341 ÷ 3 = 206,113.6667
If the quotient is a whole number, then 3 and 206,113.6667 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 | 618,341 | |
-1 | -618,341 |
Let's try dividing by 4:
618,341 ÷ 4 = 154,585.25
If the quotient is a whole number, then 4 and 154,585.25 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 | 618,341 | |
-1 | 618,341 |
If you did it right, you will end up with this table:
1 | 17 | 36,373 | 618,341 |
-1 | -17 | -36,373 | -618,341 |
Here are some more numbers to try:
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