A:
Positive:
1 x 214200077 x 306000149 x 437143197 x 108731317 x 67571343 x 624491379 x 155332219 x 9653
Negative:
-1 x -21420007-7 x -3060001-49 x -437143-197 x -108731-317 x -67571-343 x -62449-1379 x -15533-2219 x -9653
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 21,420,007, 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 | 21,420,007 | |
| -1 | -21,420,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,420,007.
Example:
1 x 21,420,007 = 21,420,007
and
-1 x -21,420,007 = 21,420,007
Notice both answers equal 21,420,007
With that explanation out of the way, let's continue. Next, we take the number 21,420,007 and divide it by 2:
21,420,007 ÷ 2 = 10,710,003.5
If the quotient is a whole number, then 2 and 10,710,003.5 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 | 21,420,007 | |
| -1 | -21,420,007 |
Now, we try dividing 21,420,007 by 3:
21,420,007 ÷ 3 = 7,140,002.3333
If the quotient is a whole number, then 3 and 7,140,002.3333 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 | 21,420,007 | |
| -1 | -21,420,007 |
Let's try dividing by 4:
21,420,007 ÷ 4 = 5,355,001.75
If the quotient is a whole number, then 4 and 5,355,001.75 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 | 21,420,007 | |
| -1 | 21,420,007 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 197 | 317 | 343 | 1,379 | 2,219 | 9,653 | 15,533 | 62,449 | 67,571 | 108,731 | 437,143 | 3,060,001 | 21,420,007 |
| -1 | -7 | -49 | -197 | -317 | -343 | -1,379 | -2,219 | -9,653 | -15,533 | -62,449 | -67,571 | -108,731 | -437,143 | -3,060,001 | -21,420,007 |
Here are some more numbers to try:
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