Q: What are the factor combinations of the number 649,067?
A:
Positive:
1 x 649067433 x 1499
Negative:
-1 x -649067-433 x -1499
A:
Positive:
1 x 649067433 x 1499
Negative:
-1 x -649067-433 x -1499
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 649,067, 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 | 649,067 | |
-1 | -649,067 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 649,067.
Example:
1 x 649,067 = 649,067
and
-1 x -649,067 = 649,067
Notice both answers equal 649,067
With that explanation out of the way, let's continue. Next, we take the number 649,067 and divide it by 2:
649,067 ÷ 2 = 324,533.5
If the quotient is a whole number, then 2 and 324,533.5 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 | 649,067 | |
-1 | -649,067 |
Now, we try dividing 649,067 by 3:
649,067 ÷ 3 = 216,355.6667
If the quotient is a whole number, then 3 and 216,355.6667 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 | 649,067 | |
-1 | -649,067 |
Let's try dividing by 4:
649,067 ÷ 4 = 162,266.75
If the quotient is a whole number, then 4 and 162,266.75 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 | 649,067 | |
-1 | 649,067 |
If you did it right, you will end up with this table:
1 | 433 | 1,499 | 649,067 |
-1 | -433 | -1,499 | -649,067 |
Here are some more numbers to try:
Try the factor calculator