Q: What are the factor combinations of the number 61,999?
A:
Positive:
1 x 619997 x 885717 x 3647119 x 521
Negative:
-1 x -61999-7 x -8857-17 x -3647-119 x -521
A:
Positive:
1 x 619997 x 885717 x 3647119 x 521
Negative:
-1 x -61999-7 x -8857-17 x -3647-119 x -521
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 61,999, 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 | 61,999 | |
-1 | -61,999 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61,999.
Example:
1 x 61,999 = 61,999
and
-1 x -61,999 = 61,999
Notice both answers equal 61,999
With that explanation out of the way, let's continue. Next, we take the number 61,999 and divide it by 2:
61,999 ÷ 2 = 30,999.5
If the quotient is a whole number, then 2 and 30,999.5 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 | 61,999 | |
-1 | -61,999 |
Now, we try dividing 61,999 by 3:
61,999 ÷ 3 = 20,666.3333
If the quotient is a whole number, then 3 and 20,666.3333 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 | 61,999 | |
-1 | -61,999 |
Let's try dividing by 4:
61,999 ÷ 4 = 15,499.75
If the quotient is a whole number, then 4 and 15,499.75 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 | 61,999 | |
-1 | 61,999 |
If you did it right, you will end up with this table:
1 | 7 | 17 | 119 | 521 | 3,647 | 8,857 | 61,999 |
-1 | -7 | -17 | -119 | -521 | -3,647 | -8,857 | -61,999 |
Here are some more numbers to try:
Try the factor calculator