Q: What are the factor combinations of the number 343,069?
A:
Positive:
1 x 34306953 x 6473
Negative:
-1 x -343069-53 x -6473
A:
Positive:
1 x 34306953 x 6473
Negative:
-1 x -343069-53 x -6473
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 343,069, 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 | 343,069 | |
-1 | -343,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 343,069.
Example:
1 x 343,069 = 343,069
and
-1 x -343,069 = 343,069
Notice both answers equal 343,069
With that explanation out of the way, let's continue. Next, we take the number 343,069 and divide it by 2:
343,069 ÷ 2 = 171,534.5
If the quotient is a whole number, then 2 and 171,534.5 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 | 343,069 | |
-1 | -343,069 |
Now, we try dividing 343,069 by 3:
343,069 ÷ 3 = 114,356.3333
If the quotient is a whole number, then 3 and 114,356.3333 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 | 343,069 | |
-1 | -343,069 |
Let's try dividing by 4:
343,069 ÷ 4 = 85,767.25
If the quotient is a whole number, then 4 and 85,767.25 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 | 343,069 | |
-1 | 343,069 |
If you did it right, you will end up with this table:
1 | 53 | 6,473 | 343,069 |
-1 | -53 | -6,473 | -343,069 |
Here are some more numbers to try:
Try the factor calculator