Q: What are the factor combinations of the number 507,314,167?
A:
Positive:
1 x 5073141671901 x 266867
Negative:
-1 x -507314167-1901 x -266867
A:
Positive:
1 x 5073141671901 x 266867
Negative:
-1 x -507314167-1901 x -266867
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 507,314,167, 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 | 507,314,167 | |
-1 | -507,314,167 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 507,314,167.
Example:
1 x 507,314,167 = 507,314,167
and
-1 x -507,314,167 = 507,314,167
Notice both answers equal 507,314,167
With that explanation out of the way, let's continue. Next, we take the number 507,314,167 and divide it by 2:
507,314,167 ÷ 2 = 253,657,083.5
If the quotient is a whole number, then 2 and 253,657,083.5 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 | 507,314,167 | |
-1 | -507,314,167 |
Now, we try dividing 507,314,167 by 3:
507,314,167 ÷ 3 = 169,104,722.3333
If the quotient is a whole number, then 3 and 169,104,722.3333 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 | 507,314,167 | |
-1 | -507,314,167 |
Let's try dividing by 4:
507,314,167 ÷ 4 = 126,828,541.75
If the quotient is a whole number, then 4 and 126,828,541.75 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 | 507,314,167 | |
-1 | 507,314,167 |
If you did it right, you will end up with this table:
1 | 1,901 | 266,867 | 507,314,167 |
-1 | -1,901 | -266,867 | -507,314,167 |
Here are some more numbers to try:
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