A:
Positive:
1 x 4650255 x 9300511 x 4227519 x 2447525 x 1860155 x 845589 x 522595 x 4895209 x 2225275 x 1691445 x 1045475 x 979
Negative:
-1 x -465025-5 x -93005-11 x -42275-19 x -24475-25 x -18601-55 x -8455-89 x -5225-95 x -4895-209 x -2225-275 x -1691-445 x -1045-475 x -979
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 465,025, 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 | 465,025 | |
| -1 | -465,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,025.
Example:
1 x 465,025 = 465,025
and
-1 x -465,025 = 465,025
Notice both answers equal 465,025
With that explanation out of the way, let's continue. Next, we take the number 465,025 and divide it by 2:
465,025 ÷ 2 = 232,512.5
If the quotient is a whole number, then 2 and 232,512.5 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 | 465,025 | |
| -1 | -465,025 |
Now, we try dividing 465,025 by 3:
465,025 ÷ 3 = 155,008.3333
If the quotient is a whole number, then 3 and 155,008.3333 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 | 465,025 | |
| -1 | -465,025 |
Let's try dividing by 4:
465,025 ÷ 4 = 116,256.25
If the quotient is a whole number, then 4 and 116,256.25 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 | 465,025 | |
| -1 | 465,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 55 | 89 | 95 | 209 | 275 | 445 | 475 | 979 | 1,045 | 1,691 | 2,225 | 4,895 | 5,225 | 8,455 | 18,601 | 24,475 | 42,275 | 93,005 | 465,025 |
| -1 | -5 | -11 | -19 | -25 | -55 | -89 | -95 | -209 | -275 | -445 | -475 | -979 | -1,045 | -1,691 | -2,225 | -4,895 | -5,225 | -8,455 | -18,601 | -24,475 | -42,275 | -93,005 | -465,025 |
Here are some more numbers to try:
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