Q: What are the factor combinations of the number 10,019,731?
A:
Positive:
1 x 1001973143 x 2330171849 x 5419
Negative:
-1 x -10019731-43 x -233017-1849 x -5419
A:
Positive:
1 x 1001973143 x 2330171849 x 5419
Negative:
-1 x -10019731-43 x -233017-1849 x -5419
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 10,019,731, 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 | 10,019,731 | |
-1 | -10,019,731 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,019,731.
Example:
1 x 10,019,731 = 10,019,731
and
-1 x -10,019,731 = 10,019,731
Notice both answers equal 10,019,731
With that explanation out of the way, let's continue. Next, we take the number 10,019,731 and divide it by 2:
10,019,731 ÷ 2 = 5,009,865.5
If the quotient is a whole number, then 2 and 5,009,865.5 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 | 10,019,731 | |
-1 | -10,019,731 |
Now, we try dividing 10,019,731 by 3:
10,019,731 ÷ 3 = 3,339,910.3333
If the quotient is a whole number, then 3 and 3,339,910.3333 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 | 10,019,731 | |
-1 | -10,019,731 |
Let's try dividing by 4:
10,019,731 ÷ 4 = 2,504,932.75
If the quotient is a whole number, then 4 and 2,504,932.75 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 | 10,019,731 | |
-1 | 10,019,731 |
If you did it right, you will end up with this table:
1 | 43 | 1,849 | 5,419 | 233,017 | 10,019,731 |
-1 | -43 | -1,849 | -5,419 | -233,017 | -10,019,731 |
Here are some more numbers to try:
Try the factor calculator