Q: What are the factor combinations of the number 61,699?
A:
Positive:
1 x 6169911 x 560971 x 86979 x 781
Negative:
-1 x -61699-11 x -5609-71 x -869-79 x -781
A:
Positive:
1 x 6169911 x 560971 x 86979 x 781
Negative:
-1 x -61699-11 x -5609-71 x -869-79 x -781
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 61,699, 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 | 61,699 | |
-1 | -61,699 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61,699.
Example:
1 x 61,699 = 61,699
and
-1 x -61,699 = 61,699
Notice both answers equal 61,699
With that explanation out of the way, let's continue. Next, we take the number 61,699 and divide it by 2:
61,699 ÷ 2 = 30,849.5
If the quotient is a whole number, then 2 and 30,849.5 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 | 61,699 | |
-1 | -61,699 |
Now, we try dividing 61,699 by 3:
61,699 ÷ 3 = 20,566.3333
If the quotient is a whole number, then 3 and 20,566.3333 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 | 61,699 | |
-1 | -61,699 |
Let's try dividing by 4:
61,699 ÷ 4 = 15,424.75
If the quotient is a whole number, then 4 and 15,424.75 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 | 61,699 | |
-1 | 61,699 |
If you did it right, you will end up with this table:
1 | 11 | 71 | 79 | 781 | 869 | 5,609 | 61,699 |
-1 | -11 | -71 | -79 | -781 | -869 | -5,609 | -61,699 |
Here are some more numbers to try:
Try the factor calculator