A:
Positive:
1 x 421026719 x 22159337 x 11379153 x 79439113 x 37259703 x 59891007 x 41811961 x 2147
Negative:
-1 x -4210267-19 x -221593-37 x -113791-53 x -79439-113 x -37259-703 x -5989-1007 x -4181-1961 x -2147
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 4,210,267, 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 | 4,210,267 | |
| -1 | -4,210,267 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,210,267.
Example:
1 x 4,210,267 = 4,210,267
and
-1 x -4,210,267 = 4,210,267
Notice both answers equal 4,210,267
With that explanation out of the way, let's continue. Next, we take the number 4,210,267 and divide it by 2:
4,210,267 ÷ 2 = 2,105,133.5
If the quotient is a whole number, then 2 and 2,105,133.5 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 | 4,210,267 | |
| -1 | -4,210,267 |
Now, we try dividing 4,210,267 by 3:
4,210,267 ÷ 3 = 1,403,422.3333
If the quotient is a whole number, then 3 and 1,403,422.3333 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 | 4,210,267 | |
| -1 | -4,210,267 |
Let's try dividing by 4:
4,210,267 ÷ 4 = 1,052,566.75
If the quotient is a whole number, then 4 and 1,052,566.75 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 | 4,210,267 | |
| -1 | 4,210,267 |
If you did it right, you will end up with this table:
| 1 | 19 | 37 | 53 | 113 | 703 | 1,007 | 1,961 | 2,147 | 4,181 | 5,989 | 37,259 | 79,439 | 113,791 | 221,593 | 4,210,267 |
| -1 | -19 | -37 | -53 | -113 | -703 | -1,007 | -1,961 | -2,147 | -4,181 | -5,989 | -37,259 | -79,439 | -113,791 | -221,593 | -4,210,267 |
Here are some more numbers to try:
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