Q: What are the factor combinations of the number 20,011,537?

 A:
Positive:   1 x 200115377 x 285879113 x 153934929 x 69005391 x 219907203 x 98579377 x 530812639 x 7583
Negative: -1 x -20011537-7 x -2858791-13 x -1539349-29 x -690053-91 x -219907-203 x -98579-377 x -53081-2639 x -7583


How do I find the factor combinations of the number 20,011,537?

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 20,011,537, 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 20,011,537
-1 -20,011,537

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 20,011,537.

Example:
1 x 20,011,537 = 20,011,537
and
-1 x -20,011,537 = 20,011,537
Notice both answers equal 20,011,537

With that explanation out of the way, let's continue. Next, we take the number 20,011,537 and divide it by 2:

20,011,537 ÷ 2 = 10,005,768.5

If the quotient is a whole number, then 2 and 10,005,768.5 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 20,011,537
-1 -20,011,537

Now, we try dividing 20,011,537 by 3:

20,011,537 ÷ 3 = 6,670,512.3333

If the quotient is a whole number, then 3 and 6,670,512.3333 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 20,011,537
-1 -20,011,537

Let's try dividing by 4:

20,011,537 ÷ 4 = 5,002,884.25

If the quotient is a whole number, then 4 and 5,002,884.25 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 20,011,537
-1 20,011,537
Keep dividing by the next highest number until you cannot divide anymore.

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

171329912033772,6397,58353,08198,579219,907690,0531,539,3492,858,79120,011,537
-1-7-13-29-91-203-377-2,639-7,583-53,081-98,579-219,907-690,053-1,539,349-2,858,791-20,011,537

More Examples

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