Q: What are the factor combinations of the number 402,119?
A:
Positive:
1 x 402119379 x 1061
Negative:
-1 x -402119-379 x -1061
A:
Positive:
1 x 402119379 x 1061
Negative:
-1 x -402119-379 x -1061
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 402,119, 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 | 402,119 | |
-1 | -402,119 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 402,119.
Example:
1 x 402,119 = 402,119
and
-1 x -402,119 = 402,119
Notice both answers equal 402,119
With that explanation out of the way, let's continue. Next, we take the number 402,119 and divide it by 2:
402,119 ÷ 2 = 201,059.5
If the quotient is a whole number, then 2 and 201,059.5 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 | 402,119 | |
-1 | -402,119 |
Now, we try dividing 402,119 by 3:
402,119 ÷ 3 = 134,039.6667
If the quotient is a whole number, then 3 and 134,039.6667 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 | 402,119 | |
-1 | -402,119 |
Let's try dividing by 4:
402,119 ÷ 4 = 100,529.75
If the quotient is a whole number, then 4 and 100,529.75 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 | 402,119 | |
-1 | 402,119 |
If you did it right, you will end up with this table:
1 | 379 | 1,061 | 402,119 |
-1 | -379 | -1,061 | -402,119 |
Here are some more numbers to try:
Try the factor calculator