Q: What are the factor combinations of the number 694,237?
A:
Positive:
1 x 69423747 x 14771
Negative:
-1 x -694237-47 x -14771
A:
Positive:
1 x 69423747 x 14771
Negative:
-1 x -694237-47 x -14771
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 694,237, 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 | 694,237 | |
-1 | -694,237 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 694,237.
Example:
1 x 694,237 = 694,237
and
-1 x -694,237 = 694,237
Notice both answers equal 694,237
With that explanation out of the way, let's continue. Next, we take the number 694,237 and divide it by 2:
694,237 ÷ 2 = 347,118.5
If the quotient is a whole number, then 2 and 347,118.5 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 | 694,237 | |
-1 | -694,237 |
Now, we try dividing 694,237 by 3:
694,237 ÷ 3 = 231,412.3333
If the quotient is a whole number, then 3 and 231,412.3333 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 | 694,237 | |
-1 | -694,237 |
Let's try dividing by 4:
694,237 ÷ 4 = 173,559.25
If the quotient is a whole number, then 4 and 173,559.25 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 | 694,237 | |
-1 | 694,237 |
If you did it right, you will end up with this table:
1 | 47 | 14,771 | 694,237 |
-1 | -47 | -14,771 | -694,237 |
Here are some more numbers to try:
Try the factor calculator