Q: What are the factor combinations of the number 104,314,601?
A:
Positive:
1 x 10431460117 x 6136153
Negative:
-1 x -104314601-17 x -6136153
A:
Positive:
1 x 10431460117 x 6136153
Negative:
-1 x -104314601-17 x -6136153
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 104,314,601, 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 | 104,314,601 | |
-1 | -104,314,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 104,314,601.
Example:
1 x 104,314,601 = 104,314,601
and
-1 x -104,314,601 = 104,314,601
Notice both answers equal 104,314,601
With that explanation out of the way, let's continue. Next, we take the number 104,314,601 and divide it by 2:
104,314,601 ÷ 2 = 52,157,300.5
If the quotient is a whole number, then 2 and 52,157,300.5 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 | 104,314,601 | |
-1 | -104,314,601 |
Now, we try dividing 104,314,601 by 3:
104,314,601 ÷ 3 = 34,771,533.6667
If the quotient is a whole number, then 3 and 34,771,533.6667 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 | 104,314,601 | |
-1 | -104,314,601 |
Let's try dividing by 4:
104,314,601 ÷ 4 = 26,078,650.25
If the quotient is a whole number, then 4 and 26,078,650.25 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 | 104,314,601 | |
-1 | 104,314,601 |
If you did it right, you will end up with this table:
1 | 17 | 6,136,153 | 104,314,601 |
-1 | -17 | -6,136,153 | -104,314,601 |
Here are some more numbers to try:
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