Q: What are the factor combinations of the number 20,074,271?

 A:
Positive:   1 x 200742717 x 286775349 x 409679499 x 40229821 x 244513493 x 5747
Negative: -1 x -20074271-7 x -2867753-49 x -409679-499 x -40229-821 x -24451-3493 x -5747


How do I find the factor combinations of the number 20,074,271?

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 20,074,271, 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 20,074,271
-1 -20,074,271

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 20,074,271.

Example:
1 x 20,074,271 = 20,074,271
and
-1 x -20,074,271 = 20,074,271
Notice both answers equal 20,074,271

With that explanation out of the way, let's continue. Next, we take the number 20,074,271 and divide it by 2:

20,074,271 ÷ 2 = 10,037,135.5

If the quotient is a whole number, then 2 and 10,037,135.5 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 20,074,271
-1 -20,074,271

Now, we try dividing 20,074,271 by 3:

20,074,271 ÷ 3 = 6,691,423.6667

If the quotient is a whole number, then 3 and 6,691,423.6667 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 20,074,271
-1 -20,074,271

Let's try dividing by 4:

20,074,271 ÷ 4 = 5,018,567.75

If the quotient is a whole number, then 4 and 5,018,567.75 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 20,074,271
-1 20,074,271
Keep dividing by the next highest number until you cannot divide anymore.

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

17494998213,4935,74724,45140,229409,6792,867,75320,074,271
-1-7-49-499-821-3,493-5,747-24,451-40,229-409,679-2,867,753-20,074,271

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