Q: What are the factor combinations of the number 84,295?
A:
Positive:
1 x 842955 x 1685923 x 3665115 x 733
Negative:
-1 x -84295-5 x -16859-23 x -3665-115 x -733
A:
Positive:
1 x 842955 x 1685923 x 3665115 x 733
Negative:
-1 x -84295-5 x -16859-23 x -3665-115 x -733
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 84,295, 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 | 84,295 | |
-1 | -84,295 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 84,295.
Example:
1 x 84,295 = 84,295
and
-1 x -84,295 = 84,295
Notice both answers equal 84,295
With that explanation out of the way, let's continue. Next, we take the number 84,295 and divide it by 2:
84,295 ÷ 2 = 42,147.5
If the quotient is a whole number, then 2 and 42,147.5 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 | 84,295 | |
-1 | -84,295 |
Now, we try dividing 84,295 by 3:
84,295 ÷ 3 = 28,098.3333
If the quotient is a whole number, then 3 and 28,098.3333 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 | 84,295 | |
-1 | -84,295 |
Let's try dividing by 4:
84,295 ÷ 4 = 21,073.75
If the quotient is a whole number, then 4 and 21,073.75 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 | 84,295 | |
-1 | 84,295 |
If you did it right, you will end up with this table:
1 | 5 | 23 | 115 | 733 | 3,665 | 16,859 | 84,295 |
-1 | -5 | -23 | -115 | -733 | -3,665 | -16,859 | -84,295 |
Here are some more numbers to try:
Try the factor calculator