A:
Positive:
1 x 15322421317 x 901318979 x 1939547271 x 565403421 x 3639531343 x 1140914607 x 332597157 x 21409
Negative:
-1 x -153224213-17 x -9013189-79 x -1939547-271 x -565403-421 x -363953-1343 x -114091-4607 x -33259-7157 x -21409
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 153,224,213, 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 | 153,224,213 | |
| -1 | -153,224,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 153,224,213.
Example:
1 x 153,224,213 = 153,224,213
and
-1 x -153,224,213 = 153,224,213
Notice both answers equal 153,224,213
With that explanation out of the way, let's continue. Next, we take the number 153,224,213 and divide it by 2:
153,224,213 ÷ 2 = 76,612,106.5
If the quotient is a whole number, then 2 and 76,612,106.5 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 | 153,224,213 | |
| -1 | -153,224,213 |
Now, we try dividing 153,224,213 by 3:
153,224,213 ÷ 3 = 51,074,737.6667
If the quotient is a whole number, then 3 and 51,074,737.6667 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 | 153,224,213 | |
| -1 | -153,224,213 |
Let's try dividing by 4:
153,224,213 ÷ 4 = 38,306,053.25
If the quotient is a whole number, then 4 and 38,306,053.25 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 | 153,224,213 | |
| -1 | 153,224,213 |
If you did it right, you will end up with this table:
| 1 | 17 | 79 | 271 | 421 | 1,343 | 4,607 | 7,157 | 21,409 | 33,259 | 114,091 | 363,953 | 565,403 | 1,939,547 | 9,013,189 | 153,224,213 |
| -1 | -17 | -79 | -271 | -421 | -1,343 | -4,607 | -7,157 | -21,409 | -33,259 | -114,091 | -363,953 | -565,403 | -1,939,547 | -9,013,189 | -153,224,213 |
Here are some more numbers to try:
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