Q: What are the factor combinations of the number 64,699?
A:
Positive:
1 x 6469923 x 281329 x 223197 x 667
Negative:
-1 x -64699-23 x -2813-29 x -2231-97 x -667
A:
Positive:
1 x 6469923 x 281329 x 223197 x 667
Negative:
-1 x -64699-23 x -2813-29 x -2231-97 x -667
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 64,699, 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 | 64,699 | |
-1 | -64,699 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 64,699.
Example:
1 x 64,699 = 64,699
and
-1 x -64,699 = 64,699
Notice both answers equal 64,699
With that explanation out of the way, let's continue. Next, we take the number 64,699 and divide it by 2:
64,699 ÷ 2 = 32,349.5
If the quotient is a whole number, then 2 and 32,349.5 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 | 64,699 | |
-1 | -64,699 |
Now, we try dividing 64,699 by 3:
64,699 ÷ 3 = 21,566.3333
If the quotient is a whole number, then 3 and 21,566.3333 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 | 64,699 | |
-1 | -64,699 |
Let's try dividing by 4:
64,699 ÷ 4 = 16,174.75
If the quotient is a whole number, then 4 and 16,174.75 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 | 64,699 | |
-1 | 64,699 |
If you did it right, you will end up with this table:
1 | 23 | 29 | 97 | 667 | 2,231 | 2,813 | 64,699 |
-1 | -23 | -29 | -97 | -667 | -2,231 | -2,813 | -64,699 |
Here are some more numbers to try:
Try the factor calculator