A:
Positive:
1 x 4221031323 x 183523131 x 136162353 x 796421713 x 592011117 x 377891219 x 346271643 x 25691
Negative:
-1 x -42210313-23 x -1835231-31 x -1361623-53 x -796421-713 x -59201-1117 x -37789-1219 x -34627-1643 x -25691
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 42,210,313, 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 | 42,210,313 | |
| -1 | -42,210,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,210,313.
Example:
1 x 42,210,313 = 42,210,313
and
-1 x -42,210,313 = 42,210,313
Notice both answers equal 42,210,313
With that explanation out of the way, let's continue. Next, we take the number 42,210,313 and divide it by 2:
42,210,313 ÷ 2 = 21,105,156.5
If the quotient is a whole number, then 2 and 21,105,156.5 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 | 42,210,313 | |
| -1 | -42,210,313 |
Now, we try dividing 42,210,313 by 3:
42,210,313 ÷ 3 = 14,070,104.3333
If the quotient is a whole number, then 3 and 14,070,104.3333 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 | 42,210,313 | |
| -1 | -42,210,313 |
Let's try dividing by 4:
42,210,313 ÷ 4 = 10,552,578.25
If the quotient is a whole number, then 4 and 10,552,578.25 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 | 42,210,313 | |
| -1 | 42,210,313 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 53 | 713 | 1,117 | 1,219 | 1,643 | 25,691 | 34,627 | 37,789 | 59,201 | 796,421 | 1,361,623 | 1,835,231 | 42,210,313 |
| -1 | -23 | -31 | -53 | -713 | -1,117 | -1,219 | -1,643 | -25,691 | -34,627 | -37,789 | -59,201 | -796,421 | -1,361,623 | -1,835,231 | -42,210,313 |
Here are some more numbers to try:
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