Q: What are the factor combinations of the number 533,347?
A:
Positive:
1 x 53334723 x 23189
Negative:
-1 x -533347-23 x -23189
A:
Positive:
1 x 53334723 x 23189
Negative:
-1 x -533347-23 x -23189
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 533,347, 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 | 533,347 | |
-1 | -533,347 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 533,347.
Example:
1 x 533,347 = 533,347
and
-1 x -533,347 = 533,347
Notice both answers equal 533,347
With that explanation out of the way, let's continue. Next, we take the number 533,347 and divide it by 2:
533,347 ÷ 2 = 266,673.5
If the quotient is a whole number, then 2 and 266,673.5 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 | 533,347 | |
-1 | -533,347 |
Now, we try dividing 533,347 by 3:
533,347 ÷ 3 = 177,782.3333
If the quotient is a whole number, then 3 and 177,782.3333 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 | 533,347 | |
-1 | -533,347 |
Let's try dividing by 4:
533,347 ÷ 4 = 133,336.75
If the quotient is a whole number, then 4 and 133,336.75 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 | 533,347 | |
-1 | 533,347 |
If you did it right, you will end up with this table:
1 | 23 | 23,189 | 533,347 |
-1 | -23 | -23,189 | -533,347 |
Here are some more numbers to try:
Try the factor calculator