Q: What are the factor combinations of the number 342,431,201?
A:
Positive:
1 x 3424312017 x 48918743
Negative:
-1 x -342431201-7 x -48918743
A:
Positive:
1 x 3424312017 x 48918743
Negative:
-1 x -342431201-7 x -48918743
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 342,431,201, 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 | 342,431,201 | |
-1 | -342,431,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 342,431,201.
Example:
1 x 342,431,201 = 342,431,201
and
-1 x -342,431,201 = 342,431,201
Notice both answers equal 342,431,201
With that explanation out of the way, let's continue. Next, we take the number 342,431,201 and divide it by 2:
342,431,201 ÷ 2 = 171,215,600.5
If the quotient is a whole number, then 2 and 171,215,600.5 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 | 342,431,201 | |
-1 | -342,431,201 |
Now, we try dividing 342,431,201 by 3:
342,431,201 ÷ 3 = 114,143,733.6667
If the quotient is a whole number, then 3 and 114,143,733.6667 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 | 342,431,201 | |
-1 | -342,431,201 |
Let's try dividing by 4:
342,431,201 ÷ 4 = 85,607,800.25
If the quotient is a whole number, then 4 and 85,607,800.25 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 | 342,431,201 | |
-1 | 342,431,201 |
If you did it right, you will end up with this table:
1 | 7 | 48,918,743 | 342,431,201 |
-1 | -7 | -48,918,743 | -342,431,201 |
Here are some more numbers to try:
Try the factor calculator