Q: What are the factor combinations of the number 620,443,301?
A:
Positive:
1 x 620443301149 x 4164049
Negative:
-1 x -620443301-149 x -4164049
A:
Positive:
1 x 620443301149 x 4164049
Negative:
-1 x -620443301-149 x -4164049
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 620,443,301, 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 | 620,443,301 | |
-1 | -620,443,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 620,443,301.
Example:
1 x 620,443,301 = 620,443,301
and
-1 x -620,443,301 = 620,443,301
Notice both answers equal 620,443,301
With that explanation out of the way, let's continue. Next, we take the number 620,443,301 and divide it by 2:
620,443,301 ÷ 2 = 310,221,650.5
If the quotient is a whole number, then 2 and 310,221,650.5 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 | 620,443,301 | |
-1 | -620,443,301 |
Now, we try dividing 620,443,301 by 3:
620,443,301 ÷ 3 = 206,814,433.6667
If the quotient is a whole number, then 3 and 206,814,433.6667 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 | 620,443,301 | |
-1 | -620,443,301 |
Let's try dividing by 4:
620,443,301 ÷ 4 = 155,110,825.25
If the quotient is a whole number, then 4 and 155,110,825.25 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 | 620,443,301 | |
-1 | 620,443,301 |
If you did it right, you will end up with this table:
1 | 149 | 4,164,049 | 620,443,301 |
-1 | -149 | -4,164,049 | -620,443,301 |
Here are some more numbers to try:
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