A:
Positive:
1 x 105034097 x 150048719 x 552811133 x 78973151 x 69559523 x 200831057 x 99372869 x 3661
Negative:
-1 x -10503409-7 x -1500487-19 x -552811-133 x -78973-151 x -69559-523 x -20083-1057 x -9937-2869 x -3661
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 10,503,409, 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 | 10,503,409 | |
| -1 | -10,503,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,503,409.
Example:
1 x 10,503,409 = 10,503,409
and
-1 x -10,503,409 = 10,503,409
Notice both answers equal 10,503,409
With that explanation out of the way, let's continue. Next, we take the number 10,503,409 and divide it by 2:
10,503,409 ÷ 2 = 5,251,704.5
If the quotient is a whole number, then 2 and 5,251,704.5 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 | 10,503,409 | |
| -1 | -10,503,409 |
Now, we try dividing 10,503,409 by 3:
10,503,409 ÷ 3 = 3,501,136.3333
If the quotient is a whole number, then 3 and 3,501,136.3333 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 | 10,503,409 | |
| -1 | -10,503,409 |
Let's try dividing by 4:
10,503,409 ÷ 4 = 2,625,852.25
If the quotient is a whole number, then 4 and 2,625,852.25 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 | 10,503,409 | |
| -1 | 10,503,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 151 | 523 | 1,057 | 2,869 | 3,661 | 9,937 | 20,083 | 69,559 | 78,973 | 552,811 | 1,500,487 | 10,503,409 |
| -1 | -7 | -19 | -133 | -151 | -523 | -1,057 | -2,869 | -3,661 | -9,937 | -20,083 | -69,559 | -78,973 | -552,811 | -1,500,487 | -10,503,409 |
Here are some more numbers to try:
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