Q: What are the factor combinations of the number 69,559?
A:
Positive:
1 x 695597 x 993719 x 3661133 x 523
Negative:
-1 x -69559-7 x -9937-19 x -3661-133 x -523
A:
Positive:
1 x 695597 x 993719 x 3661133 x 523
Negative:
-1 x -69559-7 x -9937-19 x -3661-133 x -523
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 69,559, 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 | 69,559 | |
-1 | -69,559 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 69,559.
Example:
1 x 69,559 = 69,559
and
-1 x -69,559 = 69,559
Notice both answers equal 69,559
With that explanation out of the way, let's continue. Next, we take the number 69,559 and divide it by 2:
69,559 ÷ 2 = 34,779.5
If the quotient is a whole number, then 2 and 34,779.5 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 | 69,559 | |
-1 | -69,559 |
Now, we try dividing 69,559 by 3:
69,559 ÷ 3 = 23,186.3333
If the quotient is a whole number, then 3 and 23,186.3333 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 | 69,559 | |
-1 | -69,559 |
Let's try dividing by 4:
69,559 ÷ 4 = 17,389.75
If the quotient is a whole number, then 4 and 17,389.75 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 | 69,559 | |
-1 | 69,559 |
If you did it right, you will end up with this table:
1 | 7 | 19 | 133 | 523 | 3,661 | 9,937 | 69,559 |
-1 | -7 | -19 | -133 | -523 | -3,661 | -9,937 | -69,559 |
Here are some more numbers to try:
Try the factor calculator