A:
Positive:
1 x 51015213711 x 4637746729 x 1759145367 x 7614211319 x 1599223737 x 6922011943 x 26255921373 x 23869
Negative:
-1 x -510152137-11 x -46377467-29 x -17591453-67 x -7614211-319 x -1599223-737 x -692201-1943 x -262559-21373 x -23869
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 510,152,137, 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 | 510,152,137 | |
| -1 | -510,152,137 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 510,152,137.
Example:
1 x 510,152,137 = 510,152,137
and
-1 x -510,152,137 = 510,152,137
Notice both answers equal 510,152,137
With that explanation out of the way, let's continue. Next, we take the number 510,152,137 and divide it by 2:
510,152,137 ÷ 2 = 255,076,068.5
If the quotient is a whole number, then 2 and 255,076,068.5 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 | 510,152,137 | |
| -1 | -510,152,137 |
Now, we try dividing 510,152,137 by 3:
510,152,137 ÷ 3 = 170,050,712.3333
If the quotient is a whole number, then 3 and 170,050,712.3333 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 | 510,152,137 | |
| -1 | -510,152,137 |
Let's try dividing by 4:
510,152,137 ÷ 4 = 127,538,034.25
If the quotient is a whole number, then 4 and 127,538,034.25 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 | 510,152,137 | |
| -1 | 510,152,137 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 67 | 319 | 737 | 1,943 | 21,373 | 23,869 | 262,559 | 692,201 | 1,599,223 | 7,614,211 | 17,591,453 | 46,377,467 | 510,152,137 |
| -1 | -11 | -29 | -67 | -319 | -737 | -1,943 | -21,373 | -23,869 | -262,559 | -692,201 | -1,599,223 | -7,614,211 | -17,591,453 | -46,377,467 | -510,152,137 |
Here are some more numbers to try:
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