A:
Positive:
1 x 151530055 x 30306017 x 216471535 x 43294349 x 309245127 x 119315245 x 61849487 x 31115635 x 23863889 x 170452435 x 62233409 x 4445
Negative:
-1 x -15153005-5 x -3030601-7 x -2164715-35 x -432943-49 x -309245-127 x -119315-245 x -61849-487 x -31115-635 x -23863-889 x -17045-2435 x -6223-3409 x -4445
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 15,153,005, 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 | 15,153,005 | |
| -1 | -15,153,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 15,153,005.
Example:
1 x 15,153,005 = 15,153,005
and
-1 x -15,153,005 = 15,153,005
Notice both answers equal 15,153,005
With that explanation out of the way, let's continue. Next, we take the number 15,153,005 and divide it by 2:
15,153,005 ÷ 2 = 7,576,502.5
If the quotient is a whole number, then 2 and 7,576,502.5 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 | 15,153,005 | |
| -1 | -15,153,005 |
Now, we try dividing 15,153,005 by 3:
15,153,005 ÷ 3 = 5,051,001.6667
If the quotient is a whole number, then 3 and 5,051,001.6667 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 | 15,153,005 | |
| -1 | -15,153,005 |
Let's try dividing by 4:
15,153,005 ÷ 4 = 3,788,251.25
If the quotient is a whole number, then 4 and 3,788,251.25 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 | 15,153,005 | |
| -1 | 15,153,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 127 | 245 | 487 | 635 | 889 | 2,435 | 3,409 | 4,445 | 6,223 | 17,045 | 23,863 | 31,115 | 61,849 | 119,315 | 309,245 | 432,943 | 2,164,715 | 3,030,601 | 15,153,005 |
| -1 | -5 | -7 | -35 | -49 | -127 | -245 | -487 | -635 | -889 | -2,435 | -3,409 | -4,445 | -6,223 | -17,045 | -23,863 | -31,115 | -61,849 | -119,315 | -309,245 | -432,943 | -2,164,715 | -3,030,601 | -15,153,005 |
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