Q: What are the factor combinations of the number 464,218,189?
A:
Positive:
1 x 46421818912659 x 36671
Negative:
-1 x -464218189-12659 x -36671
A:
Positive:
1 x 46421818912659 x 36671
Negative:
-1 x -464218189-12659 x -36671
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 464,218,189, 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 | 464,218,189 | |
-1 | -464,218,189 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 464,218,189.
Example:
1 x 464,218,189 = 464,218,189
and
-1 x -464,218,189 = 464,218,189
Notice both answers equal 464,218,189
With that explanation out of the way, let's continue. Next, we take the number 464,218,189 and divide it by 2:
464,218,189 ÷ 2 = 232,109,094.5
If the quotient is a whole number, then 2 and 232,109,094.5 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 | 464,218,189 | |
-1 | -464,218,189 |
Now, we try dividing 464,218,189 by 3:
464,218,189 ÷ 3 = 154,739,396.3333
If the quotient is a whole number, then 3 and 154,739,396.3333 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 | 464,218,189 | |
-1 | -464,218,189 |
Let's try dividing by 4:
464,218,189 ÷ 4 = 116,054,547.25
If the quotient is a whole number, then 4 and 116,054,547.25 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 | 464,218,189 | |
-1 | 464,218,189 |
If you did it right, you will end up with this table:
1 | 12,659 | 36,671 | 464,218,189 |
-1 | -12,659 | -36,671 | -464,218,189 |
Here are some more numbers to try:
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