Q: What are the factor combinations of the number 20,101,487?

 A:
Positive:   1 x 201014877 x 287164119 x 1057973133 x 151139359 x 55993421 x 477472513 x 79992947 x 6821
Negative: -1 x -20101487-7 x -2871641-19 x -1057973-133 x -151139-359 x -55993-421 x -47747-2513 x -7999-2947 x -6821


How do I find the factor combinations of the number 20,101,487?

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 20,101,487, 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 20,101,487
-1 -20,101,487

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 20,101,487.

Example:
1 x 20,101,487 = 20,101,487
and
-1 x -20,101,487 = 20,101,487
Notice both answers equal 20,101,487

With that explanation out of the way, let's continue. Next, we take the number 20,101,487 and divide it by 2:

20,101,487 ÷ 2 = 10,050,743.5

If the quotient is a whole number, then 2 and 10,050,743.5 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 20,101,487
-1 -20,101,487

Now, we try dividing 20,101,487 by 3:

20,101,487 ÷ 3 = 6,700,495.6667

If the quotient is a whole number, then 3 and 6,700,495.6667 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 20,101,487
-1 -20,101,487

Let's try dividing by 4:

20,101,487 ÷ 4 = 5,025,371.75

If the quotient is a whole number, then 4 and 5,025,371.75 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 20,101,487
-1 20,101,487
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333594212,5132,9476,8217,99947,74755,993151,1391,057,9732,871,64120,101,487
-1-7-19-133-359-421-2,513-2,947-6,821-7,999-47,747-55,993-151,139-1,057,973-2,871,641-20,101,487

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