Q: What are the factor combinations of the number 23,402,533?

 A:
Positive:   1 x 234025337 x 334321911 x 212750377 x 303929491 x 47663619 x 378073437 x 68094333 x 5401
Negative: -1 x -23402533-7 x -3343219-11 x -2127503-77 x -303929-491 x -47663-619 x -37807-3437 x -6809-4333 x -5401


How do I find the factor combinations of the number 23,402,533?

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 23,402,533, 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 23,402,533
-1 -23,402,533

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 23,402,533.

Example:
1 x 23,402,533 = 23,402,533
and
-1 x -23,402,533 = 23,402,533
Notice both answers equal 23,402,533

With that explanation out of the way, let's continue. Next, we take the number 23,402,533 and divide it by 2:

23,402,533 ÷ 2 = 11,701,266.5

If the quotient is a whole number, then 2 and 11,701,266.5 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 23,402,533
-1 -23,402,533

Now, we try dividing 23,402,533 by 3:

23,402,533 ÷ 3 = 7,800,844.3333

If the quotient is a whole number, then 3 and 7,800,844.3333 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 23,402,533
-1 -23,402,533

Let's try dividing by 4:

23,402,533 ÷ 4 = 5,850,633.25

If the quotient is a whole number, then 4 and 5,850,633.25 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 23,402,533
-1 23,402,533
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774916193,4374,3335,4016,80937,80747,663303,9292,127,5033,343,21923,402,533
-1-7-11-77-491-619-3,437-4,333-5,401-6,809-37,807-47,663-303,929-2,127,503-3,343,219-23,402,533

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