A:
Positive:
1 x 35446502311 x 3222409347 x 7541809121 x 2929463157 x 2257739397 x 892859517 x 6856191727 x 2052494367 x 811695687 x 623297379 x 4803718659 x 18997
Negative:
-1 x -354465023-11 x -32224093-47 x -7541809-121 x -2929463-157 x -2257739-397 x -892859-517 x -685619-1727 x -205249-4367 x -81169-5687 x -62329-7379 x -48037-18659 x -18997
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 354,465,023, 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 | 354,465,023 | |
| -1 | -354,465,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 354,465,023.
Example:
1 x 354,465,023 = 354,465,023
and
-1 x -354,465,023 = 354,465,023
Notice both answers equal 354,465,023
With that explanation out of the way, let's continue. Next, we take the number 354,465,023 and divide it by 2:
354,465,023 ÷ 2 = 177,232,511.5
If the quotient is a whole number, then 2 and 177,232,511.5 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 | 354,465,023 | |
| -1 | -354,465,023 |
Now, we try dividing 354,465,023 by 3:
354,465,023 ÷ 3 = 118,155,007.6667
If the quotient is a whole number, then 3 and 118,155,007.6667 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 | 354,465,023 | |
| -1 | -354,465,023 |
Let's try dividing by 4:
354,465,023 ÷ 4 = 88,616,255.75
If the quotient is a whole number, then 4 and 88,616,255.75 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 | 354,465,023 | |
| -1 | 354,465,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 47 | 121 | 157 | 397 | 517 | 1,727 | 4,367 | 5,687 | 7,379 | 18,659 | 18,997 | 48,037 | 62,329 | 81,169 | 205,249 | 685,619 | 892,859 | 2,257,739 | 2,929,463 | 7,541,809 | 32,224,093 | 354,465,023 |
| -1 | -11 | -47 | -121 | -157 | -397 | -517 | -1,727 | -4,367 | -5,687 | -7,379 | -18,659 | -18,997 | -48,037 | -62,329 | -81,169 | -205,249 | -685,619 | -892,859 | -2,257,739 | -2,929,463 | -7,541,809 | -32,224,093 | -354,465,023 |
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