Q: What are the factor combinations of the number 20,333,435?

 A:
Positive:   1 x 203334355 x 406668761 x 333335163 x 124745305 x 66667409 x 49715815 x 249492045 x 9943
Negative: -1 x -20333435-5 x -4066687-61 x -333335-163 x -124745-305 x -66667-409 x -49715-815 x -24949-2045 x -9943


How do I find the factor combinations of the number 20,333,435?

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 20,333,435, 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 20,333,435
-1 -20,333,435

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 20,333,435.

Example:
1 x 20,333,435 = 20,333,435
and
-1 x -20,333,435 = 20,333,435
Notice both answers equal 20,333,435

With that explanation out of the way, let's continue. Next, we take the number 20,333,435 and divide it by 2:

20,333,435 ÷ 2 = 10,166,717.5

If the quotient is a whole number, then 2 and 10,166,717.5 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 20,333,435
-1 -20,333,435

Now, we try dividing 20,333,435 by 3:

20,333,435 ÷ 3 = 6,777,811.6667

If the quotient is a whole number, then 3 and 6,777,811.6667 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 20,333,435
-1 -20,333,435

Let's try dividing by 4:

20,333,435 ÷ 4 = 5,083,358.75

If the quotient is a whole number, then 4 and 5,083,358.75 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 20,333,435
-1 20,333,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15611633054098152,0459,94324,94949,71566,667124,745333,3354,066,68720,333,435
-1-5-61-163-305-409-815-2,045-9,943-24,949-49,715-66,667-124,745-333,335-4,066,687-20,333,435

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