A:
Positive:
1 x 2892774202 x 1446387104 x 723193555 x 5785548410 x 2892774220 x 144638711583 x 1827403166 x 913706332 x 456857915 x 365489137 x 3166015830 x 18274
Negative:
-1 x -289277420-2 x -144638710-4 x -72319355-5 x -57855484-10 x -28927742-20 x -14463871-1583 x -182740-3166 x -91370-6332 x -45685-7915 x -36548-9137 x -31660-15830 x -18274
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 289,277,420, 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 | 289,277,420 | |
| -1 | -289,277,420 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 289,277,420.
Example:
1 x 289,277,420 = 289,277,420
and
-1 x -289,277,420 = 289,277,420
Notice both answers equal 289,277,420
With that explanation out of the way, let's continue. Next, we take the number 289,277,420 and divide it by 2:
289,277,420 ÷ 2 = 144,638,710
If the quotient is a whole number, then 2 and 144,638,710 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 144,638,710 | 289,277,420 | |
| -1 | -2 | -144,638,710 | -289,277,420 |
Now, we try dividing 289,277,420 by 3:
289,277,420 ÷ 3 = 96,425,806.6667
If the quotient is a whole number, then 3 and 96,425,806.6667 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 | 2 | 144,638,710 | 289,277,420 | |
| -1 | -2 | -144,638,710 | -289,277,420 |
Let's try dividing by 4:
289,277,420 ÷ 4 = 72,319,355
If the quotient is a whole number, then 4 and 72,319,355 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 4 | 72,319,355 | 144,638,710 | 289,277,420 | |
| -1 | -2 | -4 | -72,319,355 | -144,638,710 | 289,277,420 |
If you did it right, you will end up with this table:
| 1 | 2 | 4 | 5 | 10 | 20 | 1,583 | 3,166 | 6,332 | 7,915 | 9,137 | 15,830 | 18,274 | 31,660 | 36,548 | 45,685 | 91,370 | 182,740 | 14,463,871 | 28,927,742 | 57,855,484 | 72,319,355 | 144,638,710 | 289,277,420 |
| -1 | -2 | -4 | -5 | -10 | -20 | -1,583 | -3,166 | -6,332 | -7,915 | -9,137 | -15,830 | -18,274 | -31,660 | -36,548 | -45,685 | -91,370 | -182,740 | -14,463,871 | -28,927,742 | -57,855,484 | -72,319,355 | -144,638,710 | -289,277,420 |
Here are some more numbers to try:
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