A:
Positive:
1 x 4560002355 x 9120004731 x 14709685155 x 2941937409 x 11149152045 x 2229837193 x 6339512679 x 35965
Negative:
-1 x -456000235-5 x -91200047-31 x -14709685-155 x -2941937-409 x -1114915-2045 x -222983-7193 x -63395-12679 x -35965
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 456,000,235, 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 | 456,000,235 | |
| -1 | -456,000,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 456,000,235.
Example:
1 x 456,000,235 = 456,000,235
and
-1 x -456,000,235 = 456,000,235
Notice both answers equal 456,000,235
With that explanation out of the way, let's continue. Next, we take the number 456,000,235 and divide it by 2:
456,000,235 ÷ 2 = 228,000,117.5
If the quotient is a whole number, then 2 and 228,000,117.5 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 | 456,000,235 | |
| -1 | -456,000,235 |
Now, we try dividing 456,000,235 by 3:
456,000,235 ÷ 3 = 152,000,078.3333
If the quotient is a whole number, then 3 and 152,000,078.3333 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 | 456,000,235 | |
| -1 | -456,000,235 |
Let's try dividing by 4:
456,000,235 ÷ 4 = 114,000,058.75
If the quotient is a whole number, then 4 and 114,000,058.75 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 | 456,000,235 | |
| -1 | 456,000,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 409 | 2,045 | 7,193 | 12,679 | 35,965 | 63,395 | 222,983 | 1,114,915 | 2,941,937 | 14,709,685 | 91,200,047 | 456,000,235 |
| -1 | -5 | -31 | -155 | -409 | -2,045 | -7,193 | -12,679 | -35,965 | -63,395 | -222,983 | -1,114,915 | -2,941,937 | -14,709,685 | -91,200,047 | -456,000,235 |
Here are some more numbers to try:
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