A:
Positive:
1 x 1374124155 x 274824837 x 1963034535 x 392606949 x 2804335245 x 560867467 x 2942451201 x 1144152335 x 588493269 x 420356005 x 228838407 x 16345
Negative:
-1 x -137412415-5 x -27482483-7 x -19630345-35 x -3926069-49 x -2804335-245 x -560867-467 x -294245-1201 x -114415-2335 x -58849-3269 x -42035-6005 x -22883-8407 x -16345
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 137,412,415, 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 | 137,412,415 | |
| -1 | -137,412,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 137,412,415.
Example:
1 x 137,412,415 = 137,412,415
and
-1 x -137,412,415 = 137,412,415
Notice both answers equal 137,412,415
With that explanation out of the way, let's continue. Next, we take the number 137,412,415 and divide it by 2:
137,412,415 ÷ 2 = 68,706,207.5
If the quotient is a whole number, then 2 and 68,706,207.5 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 | 137,412,415 | |
| -1 | -137,412,415 |
Now, we try dividing 137,412,415 by 3:
137,412,415 ÷ 3 = 45,804,138.3333
If the quotient is a whole number, then 3 and 45,804,138.3333 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 | 137,412,415 | |
| -1 | -137,412,415 |
Let's try dividing by 4:
137,412,415 ÷ 4 = 34,353,103.75
If the quotient is a whole number, then 4 and 34,353,103.75 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 | 137,412,415 | |
| -1 | 137,412,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 245 | 467 | 1,201 | 2,335 | 3,269 | 6,005 | 8,407 | 16,345 | 22,883 | 42,035 | 58,849 | 114,415 | 294,245 | 560,867 | 2,804,335 | 3,926,069 | 19,630,345 | 27,482,483 | 137,412,415 |
| -1 | -5 | -7 | -35 | -49 | -245 | -467 | -1,201 | -2,335 | -3,269 | -6,005 | -8,407 | -16,345 | -22,883 | -42,035 | -58,849 | -114,415 | -294,245 | -560,867 | -2,804,335 | -3,926,069 | -19,630,345 | -27,482,483 | -137,412,415 |
Here are some more numbers to try:
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