Q: What are the factor combinations of the number 532,213,663?
A:
Positive:
1 x 5322136632039 x 261017
Negative:
-1 x -532213663-2039 x -261017
A:
Positive:
1 x 5322136632039 x 261017
Negative:
-1 x -532213663-2039 x -261017
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 532,213,663, 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 | 532,213,663 | |
-1 | -532,213,663 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 532,213,663.
Example:
1 x 532,213,663 = 532,213,663
and
-1 x -532,213,663 = 532,213,663
Notice both answers equal 532,213,663
With that explanation out of the way, let's continue. Next, we take the number 532,213,663 and divide it by 2:
532,213,663 ÷ 2 = 266,106,831.5
If the quotient is a whole number, then 2 and 266,106,831.5 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 | 532,213,663 | |
-1 | -532,213,663 |
Now, we try dividing 532,213,663 by 3:
532,213,663 ÷ 3 = 177,404,554.3333
If the quotient is a whole number, then 3 and 177,404,554.3333 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 | 532,213,663 | |
-1 | -532,213,663 |
Let's try dividing by 4:
532,213,663 ÷ 4 = 133,053,415.75
If the quotient is a whole number, then 4 and 133,053,415.75 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 | 532,213,663 | |
-1 | 532,213,663 |
If you did it right, you will end up with this table:
1 | 2,039 | 261,017 | 532,213,663 |
-1 | -2,039 | -261,017 | -532,213,663 |
Here are some more numbers to try:
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