Q: What are the factor combinations of the number 84,409?
A:
Positive:
1 x 8440913 x 649343 x 1963151 x 559
Negative:
-1 x -84409-13 x -6493-43 x -1963-151 x -559
A:
Positive:
1 x 8440913 x 649343 x 1963151 x 559
Negative:
-1 x -84409-13 x -6493-43 x -1963-151 x -559
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 84,409, 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 | 84,409 | |
-1 | -84,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 84,409.
Example:
1 x 84,409 = 84,409
and
-1 x -84,409 = 84,409
Notice both answers equal 84,409
With that explanation out of the way, let's continue. Next, we take the number 84,409 and divide it by 2:
84,409 ÷ 2 = 42,204.5
If the quotient is a whole number, then 2 and 42,204.5 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 | 84,409 | |
-1 | -84,409 |
Now, we try dividing 84,409 by 3:
84,409 ÷ 3 = 28,136.3333
If the quotient is a whole number, then 3 and 28,136.3333 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 | 84,409 | |
-1 | -84,409 |
Let's try dividing by 4:
84,409 ÷ 4 = 21,102.25
If the quotient is a whole number, then 4 and 21,102.25 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 | 84,409 | |
-1 | 84,409 |
If you did it right, you will end up with this table:
1 | 13 | 43 | 151 | 559 | 1,963 | 6,493 | 84,409 |
-1 | -13 | -43 | -151 | -559 | -1,963 | -6,493 | -84,409 |
Here are some more numbers to try:
Try the factor calculator