Q: What are the factor combinations of the number 29,168,821?

 A:
Positive:   1 x 2916882111 x 265171117 x 1715813151 x 193171187 x 1559831033 x 282371661 x 175612567 x 11363
Negative: -1 x -29168821-11 x -2651711-17 x -1715813-151 x -193171-187 x -155983-1033 x -28237-1661 x -17561-2567 x -11363


How do I find the factor combinations of the number 29,168,821?

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 29,168,821, 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 29,168,821
-1 -29,168,821

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 29,168,821.

Example:
1 x 29,168,821 = 29,168,821
and
-1 x -29,168,821 = 29,168,821
Notice both answers equal 29,168,821

With that explanation out of the way, let's continue. Next, we take the number 29,168,821 and divide it by 2:

29,168,821 ÷ 2 = 14,584,410.5

If the quotient is a whole number, then 2 and 14,584,410.5 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 29,168,821
-1 -29,168,821

Now, we try dividing 29,168,821 by 3:

29,168,821 ÷ 3 = 9,722,940.3333

If the quotient is a whole number, then 3 and 9,722,940.3333 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 29,168,821
-1 -29,168,821

Let's try dividing by 4:

29,168,821 ÷ 4 = 7,292,205.25

If the quotient is a whole number, then 4 and 7,292,205.25 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 29,168,821
-1 29,168,821
Keep dividing by the next highest number until you cannot divide anymore.

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

111171511871,0331,6612,56711,36317,56128,237155,983193,1711,715,8132,651,71129,168,821
-1-11-17-151-187-1,033-1,661-2,567-11,363-17,561-28,237-155,983-193,171-1,715,813-2,651,711-29,168,821

More Examples

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