How do I find the factor combinations of the number 352,304,352?
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 352,304,352, it is easier to work with a table - it's called factoring from the outside in.
Outside in Factoring
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 |
|
352,304,352 |
-1 |
|
-352,304,352 |
Why are the negative numbers included?
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 352,304,352.
Example:
1 x 352,304,352 = 352,304,352
and
-1 x -352,304,352 = 352,304,352
Notice both answers equal 352,304,352
With that explanation out of the way, let's continue. Next, we take the number 352,304,352 and divide it by 2:
352,304,352 ÷ 2 = 176,152,176
If the quotient is a whole number, then 2 and 176,152,176 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
Now, we try dividing 352,304,352 by 3:
352,304,352 ÷ 3 = 117,434,784
If the quotient is a whole number, then 3 and 117,434,784 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
Let's try dividing by 4:
352,304,352 ÷ 4 = 88,076,088
If the quotient is a whole number, then 4 and 88,076,088 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
Keep dividing by the next highest number until you cannot divide anymore.
If you did it right, you will end up with this table:
More Examples
Here are some more numbers to try:
Try the
factor calculator