Q: What are the factor combinations of the number 601,627,601?
A:
Positive:
1 x 6016276011217 x 494353
Negative:
-1 x -601627601-1217 x -494353
A:
Positive:
1 x 6016276011217 x 494353
Negative:
-1 x -601627601-1217 x -494353
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 601,627,601, 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 | 601,627,601 | |
-1 | -601,627,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 601,627,601.
Example:
1 x 601,627,601 = 601,627,601
and
-1 x -601,627,601 = 601,627,601
Notice both answers equal 601,627,601
With that explanation out of the way, let's continue. Next, we take the number 601,627,601 and divide it by 2:
601,627,601 ÷ 2 = 300,813,800.5
If the quotient is a whole number, then 2 and 300,813,800.5 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 | 601,627,601 | |
-1 | -601,627,601 |
Now, we try dividing 601,627,601 by 3:
601,627,601 ÷ 3 = 200,542,533.6667
If the quotient is a whole number, then 3 and 200,542,533.6667 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 | 601,627,601 | |
-1 | -601,627,601 |
Let's try dividing by 4:
601,627,601 ÷ 4 = 150,406,900.25
If the quotient is a whole number, then 4 and 150,406,900.25 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 | 601,627,601 | |
-1 | 601,627,601 |
If you did it right, you will end up with this table:
1 | 1,217 | 494,353 | 601,627,601 |
-1 | -1,217 | -494,353 | -601,627,601 |
Here are some more numbers to try:
Try the factor calculator