A:
Positive:
1 x 415342317 x 24431941 x 10130359 x 70397101 x 41123697 x 59591003 x 41411717 x 2419
Negative:
-1 x -4153423-17 x -244319-41 x -101303-59 x -70397-101 x -41123-697 x -5959-1003 x -4141-1717 x -2419
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 4,153,423, 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 | 4,153,423 | |
| -1 | -4,153,423 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,153,423.
Example:
1 x 4,153,423 = 4,153,423
and
-1 x -4,153,423 = 4,153,423
Notice both answers equal 4,153,423
With that explanation out of the way, let's continue. Next, we take the number 4,153,423 and divide it by 2:
4,153,423 ÷ 2 = 2,076,711.5
If the quotient is a whole number, then 2 and 2,076,711.5 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 | 4,153,423 | |
| -1 | -4,153,423 |
Now, we try dividing 4,153,423 by 3:
4,153,423 ÷ 3 = 1,384,474.3333
If the quotient is a whole number, then 3 and 1,384,474.3333 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 | 4,153,423 | |
| -1 | -4,153,423 |
Let's try dividing by 4:
4,153,423 ÷ 4 = 1,038,355.75
If the quotient is a whole number, then 4 and 1,038,355.75 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 | 4,153,423 | |
| -1 | 4,153,423 |
If you did it right, you will end up with this table:
| 1 | 17 | 41 | 59 | 101 | 697 | 1,003 | 1,717 | 2,419 | 4,141 | 5,959 | 41,123 | 70,397 | 101,303 | 244,319 | 4,153,423 |
| -1 | -17 | -41 | -59 | -101 | -697 | -1,003 | -1,717 | -2,419 | -4,141 | -5,959 | -41,123 | -70,397 | -101,303 | -244,319 | -4,153,423 |
Here are some more numbers to try:
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