Q: What are the factor combinations of the number 698,477?
A:
Positive:
1 x 69847713 x 53729169 x 4133
Negative:
-1 x -698477-13 x -53729-169 x -4133
A:
Positive:
1 x 69847713 x 53729169 x 4133
Negative:
-1 x -698477-13 x -53729-169 x -4133
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 698,477, 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 | 698,477 | |
-1 | -698,477 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 698,477.
Example:
1 x 698,477 = 698,477
and
-1 x -698,477 = 698,477
Notice both answers equal 698,477
With that explanation out of the way, let's continue. Next, we take the number 698,477 and divide it by 2:
698,477 ÷ 2 = 349,238.5
If the quotient is a whole number, then 2 and 349,238.5 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 | 698,477 | |
-1 | -698,477 |
Now, we try dividing 698,477 by 3:
698,477 ÷ 3 = 232,825.6667
If the quotient is a whole number, then 3 and 232,825.6667 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 | 698,477 | |
-1 | -698,477 |
Let's try dividing by 4:
698,477 ÷ 4 = 174,619.25
If the quotient is a whole number, then 4 and 174,619.25 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 | 698,477 | |
-1 | 698,477 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 4,133 | 53,729 | 698,477 |
-1 | -13 | -169 | -4,133 | -53,729 | -698,477 |
Here are some more numbers to try:
Try the factor calculator