Q: What are the factor combinations of the number 20,421,335?

 A:
Positive:   1 x 204213355 x 408426711 x 185648517 x 120125555 x 37129785 x 240251187 x 109205935 x 21841
Negative: -1 x -20421335-5 x -4084267-11 x -1856485-17 x -1201255-55 x -371297-85 x -240251-187 x -109205-935 x -21841


How do I find the factor combinations of the number 20,421,335?

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 20,421,335, 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 20,421,335
-1 -20,421,335

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 20,421,335.

Example:
1 x 20,421,335 = 20,421,335
and
-1 x -20,421,335 = 20,421,335
Notice both answers equal 20,421,335

With that explanation out of the way, let's continue. Next, we take the number 20,421,335 and divide it by 2:

20,421,335 ÷ 2 = 10,210,667.5

If the quotient is a whole number, then 2 and 10,210,667.5 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 20,421,335
-1 -20,421,335

Now, we try dividing 20,421,335 by 3:

20,421,335 ÷ 3 = 6,807,111.6667

If the quotient is a whole number, then 3 and 6,807,111.6667 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 20,421,335
-1 -20,421,335

Let's try dividing by 4:

20,421,335 ÷ 4 = 5,105,333.75

If the quotient is a whole number, then 4 and 5,105,333.75 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 20,421,335
-1 20,421,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793521,841109,205240,251371,2971,201,2551,856,4854,084,26720,421,335
-1-5-11-17-55-85-187-935-21,841-109,205-240,251-371,297-1,201,255-1,856,485-4,084,267-20,421,335

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