Q: What are the factor combinations of the number 69,245?
A:
Positive:
1 x 692455 x 1384911 x 629555 x 1259
Negative:
-1 x -69245-5 x -13849-11 x -6295-55 x -1259
A:
Positive:
1 x 692455 x 1384911 x 629555 x 1259
Negative:
-1 x -69245-5 x -13849-11 x -6295-55 x -1259
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 69,245, 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 | 69,245 | |
-1 | -69,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 69,245.
Example:
1 x 69,245 = 69,245
and
-1 x -69,245 = 69,245
Notice both answers equal 69,245
With that explanation out of the way, let's continue. Next, we take the number 69,245 and divide it by 2:
69,245 ÷ 2 = 34,622.5
If the quotient is a whole number, then 2 and 34,622.5 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 | 69,245 | |
-1 | -69,245 |
Now, we try dividing 69,245 by 3:
69,245 ÷ 3 = 23,081.6667
If the quotient is a whole number, then 3 and 23,081.6667 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 | 69,245 | |
-1 | -69,245 |
Let's try dividing by 4:
69,245 ÷ 4 = 17,311.25
If the quotient is a whole number, then 4 and 17,311.25 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 | 69,245 | |
-1 | 69,245 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 1,259 | 6,295 | 13,849 | 69,245 |
-1 | -5 | -11 | -55 | -1,259 | -6,295 | -13,849 | -69,245 |
Here are some more numbers to try:
Try the factor calculator