Q: What are the factor combinations of the number 412,654,301?
A:
Positive:
1 x 4126543011831 x 225371
Negative:
-1 x -412654301-1831 x -225371
A:
Positive:
1 x 4126543011831 x 225371
Negative:
-1 x -412654301-1831 x -225371
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 412,654,301, 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 | 412,654,301 | |
-1 | -412,654,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,654,301.
Example:
1 x 412,654,301 = 412,654,301
and
-1 x -412,654,301 = 412,654,301
Notice both answers equal 412,654,301
With that explanation out of the way, let's continue. Next, we take the number 412,654,301 and divide it by 2:
412,654,301 ÷ 2 = 206,327,150.5
If the quotient is a whole number, then 2 and 206,327,150.5 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 | 412,654,301 | |
-1 | -412,654,301 |
Now, we try dividing 412,654,301 by 3:
412,654,301 ÷ 3 = 137,551,433.6667
If the quotient is a whole number, then 3 and 137,551,433.6667 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 | 412,654,301 | |
-1 | -412,654,301 |
Let's try dividing by 4:
412,654,301 ÷ 4 = 103,163,575.25
If the quotient is a whole number, then 4 and 103,163,575.25 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 | 412,654,301 | |
-1 | 412,654,301 |
If you did it right, you will end up with this table:
1 | 1,831 | 225,371 | 412,654,301 |
-1 | -1,831 | -225,371 | -412,654,301 |
Here are some more numbers to try:
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