A:
Positive:
1 x 4144531517 x 59207593103 x 4023817113 x 3667727721 x 574831791 x 5239615087 x 8147311639 x 35609
Negative:
-1 x -414453151-7 x -59207593-103 x -4023817-113 x -3667727-721 x -574831-791 x -523961-5087 x -81473-11639 x -35609
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 414,453,151, 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 | 414,453,151 | |
| -1 | -414,453,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,453,151.
Example:
1 x 414,453,151 = 414,453,151
and
-1 x -414,453,151 = 414,453,151
Notice both answers equal 414,453,151
With that explanation out of the way, let's continue. Next, we take the number 414,453,151 and divide it by 2:
414,453,151 ÷ 2 = 207,226,575.5
If the quotient is a whole number, then 2 and 207,226,575.5 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 | 414,453,151 | |
| -1 | -414,453,151 |
Now, we try dividing 414,453,151 by 3:
414,453,151 ÷ 3 = 138,151,050.3333
If the quotient is a whole number, then 3 and 138,151,050.3333 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 | 414,453,151 | |
| -1 | -414,453,151 |
Let's try dividing by 4:
414,453,151 ÷ 4 = 103,613,287.75
If the quotient is a whole number, then 4 and 103,613,287.75 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 | 414,453,151 | |
| -1 | 414,453,151 |
If you did it right, you will end up with this table:
| 1 | 7 | 103 | 113 | 721 | 791 | 5,087 | 11,639 | 35,609 | 81,473 | 523,961 | 574,831 | 3,667,727 | 4,023,817 | 59,207,593 | 414,453,151 |
| -1 | -7 | -103 | -113 | -721 | -791 | -5,087 | -11,639 | -35,609 | -81,473 | -523,961 | -574,831 | -3,667,727 | -4,023,817 | -59,207,593 | -414,453,151 |
Here are some more numbers to try:
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