A:
Positive:
1 x 4271265722 x 2135632863 x 1423755244 x 1067816436 x 711877629 x 4745850812 x 3559388118 x 2372925436 x 11864627
Negative:
-1 x -427126572-2 x -213563286-3 x -142375524-4 x -106781643-6 x -71187762-9 x -47458508-12 x -35593881-18 x -23729254-36 x -11864627
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 427,126,572, 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 | 427,126,572 | |
| -1 | -427,126,572 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 427,126,572.
Example:
1 x 427,126,572 = 427,126,572
and
-1 x -427,126,572 = 427,126,572
Notice both answers equal 427,126,572
With that explanation out of the way, let's continue. Next, we take the number 427,126,572 and divide it by 2:
427,126,572 ÷ 2 = 213,563,286
If the quotient is a whole number, then 2 and 213,563,286 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 213,563,286 | 427,126,572 | |
| -1 | -2 | -213,563,286 | -427,126,572 |
Now, we try dividing 427,126,572 by 3:
427,126,572 ÷ 3 = 142,375,524
If the quotient is a whole number, then 3 and 142,375,524 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 142,375,524 | 213,563,286 | 427,126,572 | |
| -1 | -2 | -3 | -142,375,524 | -213,563,286 | -427,126,572 |
Let's try dividing by 4:
427,126,572 ÷ 4 = 106,781,643
If the quotient is a whole number, then 4 and 106,781,643 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 4 | 106,781,643 | 142,375,524 | 213,563,286 | 427,126,572 | |
| -1 | -2 | -3 | -4 | -106,781,643 | -142,375,524 | -213,563,286 | 427,126,572 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 4 | 6 | 9 | 12 | 18 | 36 | 11,864,627 | 23,729,254 | 35,593,881 | 47,458,508 | 71,187,762 | 106,781,643 | 142,375,524 | 213,563,286 | 427,126,572 |
| -1 | -2 | -3 | -4 | -6 | -9 | -12 | -18 | -36 | -11,864,627 | -23,729,254 | -35,593,881 | -47,458,508 | -71,187,762 | -106,781,643 | -142,375,524 | -213,563,286 | -427,126,572 |
Here are some more numbers to try:
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