Q: What are the factor combinations of the number 69,695?
A:
Positive:
1 x 696955 x 1393953 x 1315263 x 265
Negative:
-1 x -69695-5 x -13939-53 x -1315-263 x -265
A:
Positive:
1 x 696955 x 1393953 x 1315263 x 265
Negative:
-1 x -69695-5 x -13939-53 x -1315-263 x -265
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 69,695, 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 | 69,695 | |
-1 | -69,695 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 69,695.
Example:
1 x 69,695 = 69,695
and
-1 x -69,695 = 69,695
Notice both answers equal 69,695
With that explanation out of the way, let's continue. Next, we take the number 69,695 and divide it by 2:
69,695 ÷ 2 = 34,847.5
If the quotient is a whole number, then 2 and 34,847.5 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 | 69,695 | |
-1 | -69,695 |
Now, we try dividing 69,695 by 3:
69,695 ÷ 3 = 23,231.6667
If the quotient is a whole number, then 3 and 23,231.6667 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 | 69,695 | |
-1 | -69,695 |
Let's try dividing by 4:
69,695 ÷ 4 = 17,423.75
If the quotient is a whole number, then 4 and 17,423.75 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 | 69,695 | |
-1 | 69,695 |
If you did it right, you will end up with this table:
1 | 5 | 53 | 263 | 265 | 1,315 | 13,939 | 69,695 |
-1 | -5 | -53 | -263 | -265 | -1,315 | -13,939 | -69,695 |
Here are some more numbers to try:
Try the factor calculator