Q: What are the factor combinations of the number 545,642,183?
A:
Positive:
1 x 54564218317 x 32096599
Negative:
-1 x -545642183-17 x -32096599
A:
Positive:
1 x 54564218317 x 32096599
Negative:
-1 x -545642183-17 x -32096599
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 545,642,183, 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 | 545,642,183 | |
-1 | -545,642,183 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 545,642,183.
Example:
1 x 545,642,183 = 545,642,183
and
-1 x -545,642,183 = 545,642,183
Notice both answers equal 545,642,183
With that explanation out of the way, let's continue. Next, we take the number 545,642,183 and divide it by 2:
545,642,183 ÷ 2 = 272,821,091.5
If the quotient is a whole number, then 2 and 272,821,091.5 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 | 545,642,183 | |
-1 | -545,642,183 |
Now, we try dividing 545,642,183 by 3:
545,642,183 ÷ 3 = 181,880,727.6667
If the quotient is a whole number, then 3 and 181,880,727.6667 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 | 545,642,183 | |
-1 | -545,642,183 |
Let's try dividing by 4:
545,642,183 ÷ 4 = 136,410,545.75
If the quotient is a whole number, then 4 and 136,410,545.75 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 | 545,642,183 | |
-1 | 545,642,183 |
If you did it right, you will end up with this table:
1 | 17 | 32,096,599 | 545,642,183 |
-1 | -17 | -32,096,599 | -545,642,183 |
Here are some more numbers to try:
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