Q: What are the factor combinations of the number 532,532,609?
A:
Positive:
1 x 5325326097 x 76076087
Negative:
-1 x -532532609-7 x -76076087
A:
Positive:
1 x 5325326097 x 76076087
Negative:
-1 x -532532609-7 x -76076087
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 532,532,609, 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 | 532,532,609 | |
-1 | -532,532,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 532,532,609.
Example:
1 x 532,532,609 = 532,532,609
and
-1 x -532,532,609 = 532,532,609
Notice both answers equal 532,532,609
With that explanation out of the way, let's continue. Next, we take the number 532,532,609 and divide it by 2:
532,532,609 ÷ 2 = 266,266,304.5
If the quotient is a whole number, then 2 and 266,266,304.5 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 | 532,532,609 | |
-1 | -532,532,609 |
Now, we try dividing 532,532,609 by 3:
532,532,609 ÷ 3 = 177,510,869.6667
If the quotient is a whole number, then 3 and 177,510,869.6667 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 | 532,532,609 | |
-1 | -532,532,609 |
Let's try dividing by 4:
532,532,609 ÷ 4 = 133,133,152.25
If the quotient is a whole number, then 4 and 133,133,152.25 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 | 532,532,609 | |
-1 | 532,532,609 |
If you did it right, you will end up with this table:
1 | 7 | 76,076,087 | 532,532,609 |
-1 | -7 | -76,076,087 | -532,532,609 |
Here are some more numbers to try:
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