Q: What are the factor combinations of the number 20,156,435?

 A:
Positive:   1 x 201564355 x 403128713 x 155049519 x 106086565 x 31009995 x 212173247 x 81605361 x 55835859 x 234651235 x 163211805 x 111674295 x 4693
Negative: -1 x -20156435-5 x -4031287-13 x -1550495-19 x -1060865-65 x -310099-95 x -212173-247 x -81605-361 x -55835-859 x -23465-1235 x -16321-1805 x -11167-4295 x -4693


How do I find the factor combinations of the number 20,156,435?

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 20,156,435, 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 20,156,435
-1 -20,156,435

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 20,156,435.

Example:
1 x 20,156,435 = 20,156,435
and
-1 x -20,156,435 = 20,156,435
Notice both answers equal 20,156,435

With that explanation out of the way, let's continue. Next, we take the number 20,156,435 and divide it by 2:

20,156,435 ÷ 2 = 10,078,217.5

If the quotient is a whole number, then 2 and 10,078,217.5 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 20,156,435
-1 -20,156,435

Now, we try dividing 20,156,435 by 3:

20,156,435 ÷ 3 = 6,718,811.6667

If the quotient is a whole number, then 3 and 6,718,811.6667 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 20,156,435
-1 -20,156,435

Let's try dividing by 4:

20,156,435 ÷ 4 = 5,039,108.75

If the quotient is a whole number, then 4 and 5,039,108.75 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 20,156,435
-1 20,156,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952473618591,2351,8054,2954,69311,16716,32123,46555,83581,605212,173310,0991,060,8651,550,4954,031,28720,156,435
-1-5-13-19-65-95-247-361-859-1,235-1,805-4,295-4,693-11,167-16,321-23,465-55,835-81,605-212,173-310,099-1,060,865-1,550,495-4,031,287-20,156,435

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