Q: What are the factor combinations of the number 533,069?
A:
Positive:
1 x 53306917 x 31357
Negative:
-1 x -533069-17 x -31357
A:
Positive:
1 x 53306917 x 31357
Negative:
-1 x -533069-17 x -31357
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 533,069, 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 | 533,069 | |
-1 | -533,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 533,069.
Example:
1 x 533,069 = 533,069
and
-1 x -533,069 = 533,069
Notice both answers equal 533,069
With that explanation out of the way, let's continue. Next, we take the number 533,069 and divide it by 2:
533,069 ÷ 2 = 266,534.5
If the quotient is a whole number, then 2 and 266,534.5 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 | 533,069 | |
-1 | -533,069 |
Now, we try dividing 533,069 by 3:
533,069 ÷ 3 = 177,689.6667
If the quotient is a whole number, then 3 and 177,689.6667 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 | 533,069 | |
-1 | -533,069 |
Let's try dividing by 4:
533,069 ÷ 4 = 133,267.25
If the quotient is a whole number, then 4 and 133,267.25 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 | 533,069 | |
-1 | 533,069 |
If you did it right, you will end up with this table:
1 | 17 | 31,357 | 533,069 |
-1 | -17 | -31,357 | -533,069 |
Here are some more numbers to try:
Try the factor calculator