Q: What are the factor combinations of the number 431,353,511?

 A:
Positive:   1 x 43135351129 x 1487425937 x 1165820343 x 100314771073 x 4020071247 x 3459131591 x 2711219349 x 46139
Negative: -1 x -431353511-29 x -14874259-37 x -11658203-43 x -10031477-1073 x -402007-1247 x -345913-1591 x -271121-9349 x -46139


How do I find the factor combinations of the number 431,353,511?

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 431,353,511, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 431,353,511
-1 -431,353,511

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,353,511.

Example:
1 x 431,353,511 = 431,353,511
and
-1 x -431,353,511 = 431,353,511
Notice both answers equal 431,353,511

With that explanation out of the way, let's continue. Next, we take the number 431,353,511 and divide it by 2:

431,353,511 ÷ 2 = 215,676,755.5

If the quotient is a whole number, then 2 and 215,676,755.5 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:

1 431,353,511
-1 -431,353,511

Now, we try dividing 431,353,511 by 3:

431,353,511 ÷ 3 = 143,784,503.6667

If the quotient is a whole number, then 3 and 143,784,503.6667 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:

1 431,353,511
-1 -431,353,511

Let's try dividing by 4:

431,353,511 ÷ 4 = 107,838,377.75

If the quotient is a whole number, then 4 and 107,838,377.75 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:

1 431,353,511
-1 431,353,511
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

12937431,0731,2471,5919,34946,139271,121345,913402,00710,031,47711,658,20314,874,259431,353,511
-1-29-37-43-1,073-1,247-1,591-9,349-46,139-271,121-345,913-402,007-10,031,477-11,658,203-14,874,259-431,353,511

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