Q: What are the factor combinations of the number 348,319?
A:
Positive:
1 x 34831929 x 12011
Negative:
-1 x -348319-29 x -12011
A:
Positive:
1 x 34831929 x 12011
Negative:
-1 x -348319-29 x -12011
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 348,319, 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 | 348,319 | |
-1 | -348,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 348,319.
Example:
1 x 348,319 = 348,319
and
-1 x -348,319 = 348,319
Notice both answers equal 348,319
With that explanation out of the way, let's continue. Next, we take the number 348,319 and divide it by 2:
348,319 ÷ 2 = 174,159.5
If the quotient is a whole number, then 2 and 174,159.5 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 | 348,319 | |
-1 | -348,319 |
Now, we try dividing 348,319 by 3:
348,319 ÷ 3 = 116,106.3333
If the quotient is a whole number, then 3 and 116,106.3333 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 | 348,319 | |
-1 | -348,319 |
Let's try dividing by 4:
348,319 ÷ 4 = 87,079.75
If the quotient is a whole number, then 4 and 87,079.75 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 | 348,319 | |
-1 | 348,319 |
If you did it right, you will end up with this table:
1 | 29 | 12,011 | 348,319 |
-1 | -29 | -12,011 | -348,319 |
Here are some more numbers to try:
Try the factor calculator