Q: What are the factor combinations of the number 134,897?
A:
Positive:
1 x 1348977 x 1927149 x 2753
Negative:
-1 x -134897-7 x -19271-49 x -2753
A:
Positive:
1 x 1348977 x 1927149 x 2753
Negative:
-1 x -134897-7 x -19271-49 x -2753
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 134,897, 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 | 134,897 | |
-1 | -134,897 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 134,897.
Example:
1 x 134,897 = 134,897
and
-1 x -134,897 = 134,897
Notice both answers equal 134,897
With that explanation out of the way, let's continue. Next, we take the number 134,897 and divide it by 2:
134,897 ÷ 2 = 67,448.5
If the quotient is a whole number, then 2 and 67,448.5 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 | 134,897 | |
-1 | -134,897 |
Now, we try dividing 134,897 by 3:
134,897 ÷ 3 = 44,965.6667
If the quotient is a whole number, then 3 and 44,965.6667 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 | 134,897 | |
-1 | -134,897 |
Let's try dividing by 4:
134,897 ÷ 4 = 33,724.25
If the quotient is a whole number, then 4 and 33,724.25 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 | 134,897 | |
-1 | 134,897 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 2,753 | 19,271 | 134,897 |
-1 | -7 | -49 | -2,753 | -19,271 | -134,897 |
Here are some more numbers to try:
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