Q: What are the factor combinations of the number 352,379?
A:
Positive:
1 x 35237929 x 12151419 x 841
Negative:
-1 x -352379-29 x -12151-419 x -841
A:
Positive:
1 x 35237929 x 12151419 x 841
Negative:
-1 x -352379-29 x -12151-419 x -841
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 352,379, 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 | 352,379 | |
-1 | -352,379 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 352,379.
Example:
1 x 352,379 = 352,379
and
-1 x -352,379 = 352,379
Notice both answers equal 352,379
With that explanation out of the way, let's continue. Next, we take the number 352,379 and divide it by 2:
352,379 ÷ 2 = 176,189.5
If the quotient is a whole number, then 2 and 176,189.5 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 | 352,379 | |
-1 | -352,379 |
Now, we try dividing 352,379 by 3:
352,379 ÷ 3 = 117,459.6667
If the quotient is a whole number, then 3 and 117,459.6667 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 | 352,379 | |
-1 | -352,379 |
Let's try dividing by 4:
352,379 ÷ 4 = 88,094.75
If the quotient is a whole number, then 4 and 88,094.75 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 | 352,379 | |
-1 | 352,379 |
If you did it right, you will end up with this table:
1 | 29 | 419 | 841 | 12,151 | 352,379 |
-1 | -29 | -419 | -841 | -12,151 | -352,379 |
Here are some more numbers to try:
Try the factor calculator