Q: What are the factor combinations of the number 20,101,123?

 A:
Positive:   1 x 201011237 x 287158917 x 118241949 x 41022759 x 340697119 x 168917409 x 49147413 x 48671833 x 241311003 x 200412863 x 70212891 x 6953
Negative: -1 x -20101123-7 x -2871589-17 x -1182419-49 x -410227-59 x -340697-119 x -168917-409 x -49147-413 x -48671-833 x -24131-1003 x -20041-2863 x -7021-2891 x -6953


How do I find the factor combinations of the number 20,101,123?

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 20,101,123, 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 20,101,123
-1 -20,101,123

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 20,101,123.

Example:
1 x 20,101,123 = 20,101,123
and
-1 x -20,101,123 = 20,101,123
Notice both answers equal 20,101,123

With that explanation out of the way, let's continue. Next, we take the number 20,101,123 and divide it by 2:

20,101,123 ÷ 2 = 10,050,561.5

If the quotient is a whole number, then 2 and 10,050,561.5 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 20,101,123
-1 -20,101,123

Now, we try dividing 20,101,123 by 3:

20,101,123 ÷ 3 = 6,700,374.3333

If the quotient is a whole number, then 3 and 6,700,374.3333 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 20,101,123
-1 -20,101,123

Let's try dividing by 4:

20,101,123 ÷ 4 = 5,025,280.75

If the quotient is a whole number, then 4 and 5,025,280.75 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 20,101,123
-1 20,101,123
Keep dividing by the next highest number until you cannot divide anymore.

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

171749591194094138331,0032,8632,8916,9537,02120,04124,13148,67149,147168,917340,697410,2271,182,4192,871,58920,101,123
-1-7-17-49-59-119-409-413-833-1,003-2,863-2,891-6,953-7,021-20,041-24,131-48,671-49,147-168,917-340,697-410,227-1,182,419-2,871,589-20,101,123

More Examples

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