Q: What are the factor combinations of the number 617,062,151?
A:
Positive:
1 x 617062151113 x 5460727
Negative:
-1 x -617062151-113 x -5460727
A:
Positive:
1 x 617062151113 x 5460727
Negative:
-1 x -617062151-113 x -5460727
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 617,062,151, 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 | 617,062,151 | |
-1 | -617,062,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 617,062,151.
Example:
1 x 617,062,151 = 617,062,151
and
-1 x -617,062,151 = 617,062,151
Notice both answers equal 617,062,151
With that explanation out of the way, let's continue. Next, we take the number 617,062,151 and divide it by 2:
617,062,151 ÷ 2 = 308,531,075.5
If the quotient is a whole number, then 2 and 308,531,075.5 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 | 617,062,151 | |
-1 | -617,062,151 |
Now, we try dividing 617,062,151 by 3:
617,062,151 ÷ 3 = 205,687,383.6667
If the quotient is a whole number, then 3 and 205,687,383.6667 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 | 617,062,151 | |
-1 | -617,062,151 |
Let's try dividing by 4:
617,062,151 ÷ 4 = 154,265,537.75
If the quotient is a whole number, then 4 and 154,265,537.75 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 | 617,062,151 | |
-1 | 617,062,151 |
If you did it right, you will end up with this table:
1 | 113 | 5,460,727 | 617,062,151 |
-1 | -113 | -5,460,727 | -617,062,151 |
Here are some more numbers to try:
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