A:
Positive:
1 x 35345131913 x 2718856319 x 18602701163 x 2168413247 x 14309772119 x 1668013097 x 1141278779 x 40261
Negative:
-1 x -353451319-13 x -27188563-19 x -18602701-163 x -2168413-247 x -1430977-2119 x -166801-3097 x -114127-8779 x -40261
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 353,451,319, 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 | 353,451,319 | |
| -1 | -353,451,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 353,451,319.
Example:
1 x 353,451,319 = 353,451,319
and
-1 x -353,451,319 = 353,451,319
Notice both answers equal 353,451,319
With that explanation out of the way, let's continue. Next, we take the number 353,451,319 and divide it by 2:
353,451,319 ÷ 2 = 176,725,659.5
If the quotient is a whole number, then 2 and 176,725,659.5 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 | 353,451,319 | |
| -1 | -353,451,319 |
Now, we try dividing 353,451,319 by 3:
353,451,319 ÷ 3 = 117,817,106.3333
If the quotient is a whole number, then 3 and 117,817,106.3333 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 | 353,451,319 | |
| -1 | -353,451,319 |
Let's try dividing by 4:
353,451,319 ÷ 4 = 88,362,829.75
If the quotient is a whole number, then 4 and 88,362,829.75 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 | 353,451,319 | |
| -1 | 353,451,319 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 163 | 247 | 2,119 | 3,097 | 8,779 | 40,261 | 114,127 | 166,801 | 1,430,977 | 2,168,413 | 18,602,701 | 27,188,563 | 353,451,319 |
| -1 | -13 | -19 | -163 | -247 | -2,119 | -3,097 | -8,779 | -40,261 | -114,127 | -166,801 | -1,430,977 | -2,168,413 | -18,602,701 | -27,188,563 | -353,451,319 |
Here are some more numbers to try:
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