A:
Positive:
1 x 382699755 x 765399517 x 225117525 x 153079953 x 72207585 x 450235265 x 144415425 x 90047901 x 424751325 x 288831699 x 225254505 x 8495
Negative:
-1 x -38269975-5 x -7653995-17 x -2251175-25 x -1530799-53 x -722075-85 x -450235-265 x -144415-425 x -90047-901 x -42475-1325 x -28883-1699 x -22525-4505 x -8495
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 38,269,975, 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 | 38,269,975 | |
| -1 | -38,269,975 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,269,975.
Example:
1 x 38,269,975 = 38,269,975
and
-1 x -38,269,975 = 38,269,975
Notice both answers equal 38,269,975
With that explanation out of the way, let's continue. Next, we take the number 38,269,975 and divide it by 2:
38,269,975 ÷ 2 = 19,134,987.5
If the quotient is a whole number, then 2 and 19,134,987.5 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 | 38,269,975 | |
| -1 | -38,269,975 |
Now, we try dividing 38,269,975 by 3:
38,269,975 ÷ 3 = 12,756,658.3333
If the quotient is a whole number, then 3 and 12,756,658.3333 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 | 38,269,975 | |
| -1 | -38,269,975 |
Let's try dividing by 4:
38,269,975 ÷ 4 = 9,567,493.75
If the quotient is a whole number, then 4 and 9,567,493.75 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 | 38,269,975 | |
| -1 | 38,269,975 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 53 | 85 | 265 | 425 | 901 | 1,325 | 1,699 | 4,505 | 8,495 | 22,525 | 28,883 | 42,475 | 90,047 | 144,415 | 450,235 | 722,075 | 1,530,799 | 2,251,175 | 7,653,995 | 38,269,975 |
| -1 | -5 | -17 | -25 | -53 | -85 | -265 | -425 | -901 | -1,325 | -1,699 | -4,505 | -8,495 | -22,525 | -28,883 | -42,475 | -90,047 | -144,415 | -450,235 | -722,075 | -1,530,799 | -2,251,175 | -7,653,995 | -38,269,975 |
Here are some more numbers to try:
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