Q: What are the factor combinations of the number 294,017?
A:
Positive:
1 x 294017269 x 1093
Negative:
-1 x -294017-269 x -1093
A:
Positive:
1 x 294017269 x 1093
Negative:
-1 x -294017-269 x -1093
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 294,017, 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 | 294,017 | |
-1 | -294,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 294,017.
Example:
1 x 294,017 = 294,017
and
-1 x -294,017 = 294,017
Notice both answers equal 294,017
With that explanation out of the way, let's continue. Next, we take the number 294,017 and divide it by 2:
294,017 ÷ 2 = 147,008.5
If the quotient is a whole number, then 2 and 147,008.5 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 | 294,017 | |
-1 | -294,017 |
Now, we try dividing 294,017 by 3:
294,017 ÷ 3 = 98,005.6667
If the quotient is a whole number, then 3 and 98,005.6667 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 | 294,017 | |
-1 | -294,017 |
Let's try dividing by 4:
294,017 ÷ 4 = 73,504.25
If the quotient is a whole number, then 4 and 73,504.25 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 | 294,017 | |
-1 | 294,017 |
If you did it right, you will end up with this table:
1 | 269 | 1,093 | 294,017 |
-1 | -269 | -1,093 | -294,017 |
Here are some more numbers to try:
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