Q: What are the factor combinations of the number 20,381,431?

 A:
Positive:   1 x 203814317 x 2911633139 x 146629973 x 20947
Negative: -1 x -20381431-7 x -2911633-139 x -146629-973 x -20947


How do I find the factor combinations of the number 20,381,431?

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 20,381,431, 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 20,381,431
-1 -20,381,431

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 20,381,431.

Example:
1 x 20,381,431 = 20,381,431
and
-1 x -20,381,431 = 20,381,431
Notice both answers equal 20,381,431

With that explanation out of the way, let's continue. Next, we take the number 20,381,431 and divide it by 2:

20,381,431 ÷ 2 = 10,190,715.5

If the quotient is a whole number, then 2 and 10,190,715.5 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 20,381,431
-1 -20,381,431

Now, we try dividing 20,381,431 by 3:

20,381,431 ÷ 3 = 6,793,810.3333

If the quotient is a whole number, then 3 and 6,793,810.3333 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 20,381,431
-1 -20,381,431

Let's try dividing by 4:

20,381,431 ÷ 4 = 5,095,357.75

If the quotient is a whole number, then 4 and 5,095,357.75 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 20,381,431
-1 20,381,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1713997320,947146,6292,911,63320,381,431
-1-7-139-973-20,947-146,629-2,911,633-20,381,431

More Examples

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