Q: What are the factor combinations of the number 23,434,033?

 A:
Positive:   1 x 234340337 x 334771923 x 101887159 x 397187161 x 145553413 x 567411357 x 172692467 x 9499
Negative: -1 x -23434033-7 x -3347719-23 x -1018871-59 x -397187-161 x -145553-413 x -56741-1357 x -17269-2467 x -9499


How do I find the factor combinations of the number 23,434,033?

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 23,434,033, 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 23,434,033
-1 -23,434,033

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 23,434,033.

Example:
1 x 23,434,033 = 23,434,033
and
-1 x -23,434,033 = 23,434,033
Notice both answers equal 23,434,033

With that explanation out of the way, let's continue. Next, we take the number 23,434,033 and divide it by 2:

23,434,033 ÷ 2 = 11,717,016.5

If the quotient is a whole number, then 2 and 11,717,016.5 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 23,434,033
-1 -23,434,033

Now, we try dividing 23,434,033 by 3:

23,434,033 ÷ 3 = 7,811,344.3333

If the quotient is a whole number, then 3 and 7,811,344.3333 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 23,434,033
-1 -23,434,033

Let's try dividing by 4:

23,434,033 ÷ 4 = 5,858,508.25

If the quotient is a whole number, then 4 and 5,858,508.25 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 23,434,033
-1 23,434,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591614131,3572,4679,49917,26956,741145,553397,1871,018,8713,347,71923,434,033
-1-7-23-59-161-413-1,357-2,467-9,499-17,269-56,741-145,553-397,187-1,018,871-3,347,719-23,434,033

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