Q: What are the factor combinations of the number 258,136,589?
A:
Positive:
1 x 258136589181 x 1426169
Negative:
-1 x -258136589-181 x -1426169
A:
Positive:
1 x 258136589181 x 1426169
Negative:
-1 x -258136589-181 x -1426169
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 258,136,589, 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 | 258,136,589 | |
-1 | -258,136,589 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 258,136,589.
Example:
1 x 258,136,589 = 258,136,589
and
-1 x -258,136,589 = 258,136,589
Notice both answers equal 258,136,589
With that explanation out of the way, let's continue. Next, we take the number 258,136,589 and divide it by 2:
258,136,589 ÷ 2 = 129,068,294.5
If the quotient is a whole number, then 2 and 129,068,294.5 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 | 258,136,589 | |
-1 | -258,136,589 |
Now, we try dividing 258,136,589 by 3:
258,136,589 ÷ 3 = 86,045,529.6667
If the quotient is a whole number, then 3 and 86,045,529.6667 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 | 258,136,589 | |
-1 | -258,136,589 |
Let's try dividing by 4:
258,136,589 ÷ 4 = 64,534,147.25
If the quotient is a whole number, then 4 and 64,534,147.25 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 | 258,136,589 | |
-1 | 258,136,589 |
If you did it right, you will end up with this table:
1 | 181 | 1,426,169 | 258,136,589 |
-1 | -181 | -1,426,169 | -258,136,589 |
Here are some more numbers to try:
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