Q: What are the factor combinations of the number 21,413,833?

 A:
Positive:   1 x 214138337 x 305911949 x 437017149 x 143717343 x 62431419 x 511071043 x 205312933 x 7301
Negative: -1 x -21413833-7 x -3059119-49 x -437017-149 x -143717-343 x -62431-419 x -51107-1043 x -20531-2933 x -7301


How do I find the factor combinations of the number 21,413,833?

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 21,413,833, 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 21,413,833
-1 -21,413,833

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 21,413,833.

Example:
1 x 21,413,833 = 21,413,833
and
-1 x -21,413,833 = 21,413,833
Notice both answers equal 21,413,833

With that explanation out of the way, let's continue. Next, we take the number 21,413,833 and divide it by 2:

21,413,833 ÷ 2 = 10,706,916.5

If the quotient is a whole number, then 2 and 10,706,916.5 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 21,413,833
-1 -21,413,833

Now, we try dividing 21,413,833 by 3:

21,413,833 ÷ 3 = 7,137,944.3333

If the quotient is a whole number, then 3 and 7,137,944.3333 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 21,413,833
-1 -21,413,833

Let's try dividing by 4:

21,413,833 ÷ 4 = 5,353,458.25

If the quotient is a whole number, then 4 and 5,353,458.25 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 21,413,833
-1 21,413,833
Keep dividing by the next highest number until you cannot divide anymore.

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

17491493434191,0432,9337,30120,53151,10762,431143,717437,0173,059,11921,413,833
-1-7-49-149-343-419-1,043-2,933-7,301-20,531-51,107-62,431-143,717-437,017-3,059,119-21,413,833

More Examples

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