Q: What are the factor combinations of the number 33,340,021?

 A:
Positive:   1 x 3334002111 x 303091113 x 256461753 x 62905783 x 401687143 x 233147583 x 57187689 x 48389913 x 365171079 x 308992809 x 118694399 x 7579
Negative: -1 x -33340021-11 x -3030911-13 x -2564617-53 x -629057-83 x -401687-143 x -233147-583 x -57187-689 x -48389-913 x -36517-1079 x -30899-2809 x -11869-4399 x -7579


How do I find the factor combinations of the number 33,340,021?

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 33,340,021, 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 33,340,021
-1 -33,340,021

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 33,340,021.

Example:
1 x 33,340,021 = 33,340,021
and
-1 x -33,340,021 = 33,340,021
Notice both answers equal 33,340,021

With that explanation out of the way, let's continue. Next, we take the number 33,340,021 and divide it by 2:

33,340,021 ÷ 2 = 16,670,010.5

If the quotient is a whole number, then 2 and 16,670,010.5 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 33,340,021
-1 -33,340,021

Now, we try dividing 33,340,021 by 3:

33,340,021 ÷ 3 = 11,113,340.3333

If the quotient is a whole number, then 3 and 11,113,340.3333 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 33,340,021
-1 -33,340,021

Let's try dividing by 4:

33,340,021 ÷ 4 = 8,335,005.25

If the quotient is a whole number, then 4 and 8,335,005.25 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 33,340,021
-1 33,340,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1111353831435836899131,0792,8094,3997,57911,86930,89936,51748,38957,187233,147401,687629,0572,564,6173,030,91133,340,021
-1-11-13-53-83-143-583-689-913-1,079-2,809-4,399-7,579-11,869-30,899-36,517-48,389-57,187-233,147-401,687-629,057-2,564,617-3,030,911-33,340,021

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