A:
Positive:
1 x 3145012017 x 4492874329 x 1084486941 x 7670761203 x 1549267287 x 1095823841 x 3739611189 x 2645091303 x 2413675887 x 534238323 x 377879121 x 34481
Negative:
-1 x -314501201-7 x -44928743-29 x -10844869-41 x -7670761-203 x -1549267-287 x -1095823-841 x -373961-1189 x -264509-1303 x -241367-5887 x -53423-8323 x -37787-9121 x -34481
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 314,501,201, 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 | 314,501,201 | |
| -1 | -314,501,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,501,201.
Example:
1 x 314,501,201 = 314,501,201
and
-1 x -314,501,201 = 314,501,201
Notice both answers equal 314,501,201
With that explanation out of the way, let's continue. Next, we take the number 314,501,201 and divide it by 2:
314,501,201 ÷ 2 = 157,250,600.5
If the quotient is a whole number, then 2 and 157,250,600.5 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 | 314,501,201 | |
| -1 | -314,501,201 |
Now, we try dividing 314,501,201 by 3:
314,501,201 ÷ 3 = 104,833,733.6667
If the quotient is a whole number, then 3 and 104,833,733.6667 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 | 314,501,201 | |
| -1 | -314,501,201 |
Let's try dividing by 4:
314,501,201 ÷ 4 = 78,625,300.25
If the quotient is a whole number, then 4 and 78,625,300.25 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 | 314,501,201 | |
| -1 | 314,501,201 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 41 | 203 | 287 | 841 | 1,189 | 1,303 | 5,887 | 8,323 | 9,121 | 34,481 | 37,787 | 53,423 | 241,367 | 264,509 | 373,961 | 1,095,823 | 1,549,267 | 7,670,761 | 10,844,869 | 44,928,743 | 314,501,201 |
| -1 | -7 | -29 | -41 | -203 | -287 | -841 | -1,189 | -1,303 | -5,887 | -8,323 | -9,121 | -34,481 | -37,787 | -53,423 | -241,367 | -264,509 | -373,961 | -1,095,823 | -1,549,267 | -7,670,761 | -10,844,869 | -44,928,743 | -314,501,201 |
Here are some more numbers to try:
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