Q: What are the factor combinations of the number 693,139?
A:
Positive:
1 x 69313919 x 36481191 x 3629
Negative:
-1 x -693139-19 x -36481-191 x -3629
A:
Positive:
1 x 69313919 x 36481191 x 3629
Negative:
-1 x -693139-19 x -36481-191 x -3629
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 693,139, 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 | 693,139 | |
-1 | -693,139 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 693,139.
Example:
1 x 693,139 = 693,139
and
-1 x -693,139 = 693,139
Notice both answers equal 693,139
With that explanation out of the way, let's continue. Next, we take the number 693,139 and divide it by 2:
693,139 ÷ 2 = 346,569.5
If the quotient is a whole number, then 2 and 346,569.5 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 | 693,139 | |
-1 | -693,139 |
Now, we try dividing 693,139 by 3:
693,139 ÷ 3 = 231,046.3333
If the quotient is a whole number, then 3 and 231,046.3333 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 | 693,139 | |
-1 | -693,139 |
Let's try dividing by 4:
693,139 ÷ 4 = 173,284.75
If the quotient is a whole number, then 4 and 173,284.75 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 | 693,139 | |
-1 | 693,139 |
If you did it right, you will end up with this table:
1 | 19 | 191 | 3,629 | 36,481 | 693,139 |
-1 | -19 | -191 | -3,629 | -36,481 | -693,139 |
Here are some more numbers to try:
Try the factor calculator