Q: What are the factor combinations of the number 364,823?
A:
Positive:
1 x 364823109 x 3347
Negative:
-1 x -364823-109 x -3347
A:
Positive:
1 x 364823109 x 3347
Negative:
-1 x -364823-109 x -3347
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 364,823, 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 | 364,823 | |
-1 | -364,823 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 364,823.
Example:
1 x 364,823 = 364,823
and
-1 x -364,823 = 364,823
Notice both answers equal 364,823
With that explanation out of the way, let's continue. Next, we take the number 364,823 and divide it by 2:
364,823 ÷ 2 = 182,411.5
If the quotient is a whole number, then 2 and 182,411.5 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 | 364,823 | |
-1 | -364,823 |
Now, we try dividing 364,823 by 3:
364,823 ÷ 3 = 121,607.6667
If the quotient is a whole number, then 3 and 121,607.6667 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 | 364,823 | |
-1 | -364,823 |
Let's try dividing by 4:
364,823 ÷ 4 = 91,205.75
If the quotient is a whole number, then 4 and 91,205.75 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 | 364,823 | |
-1 | 364,823 |
If you did it right, you will end up with this table:
1 | 109 | 3,347 | 364,823 |
-1 | -109 | -3,347 | -364,823 |
Here are some more numbers to try:
Try the factor calculator