Q: What are the factor combinations of the number 29,820,655?

 A:
Positive:   1 x 298206555 x 596413183 x 359285181 x 164755397 x 75115415 x 71857905 x 329511985 x 15023
Negative: -1 x -29820655-5 x -5964131-83 x -359285-181 x -164755-397 x -75115-415 x -71857-905 x -32951-1985 x -15023


How do I find the factor combinations of the number 29,820,655?

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 29,820,655, 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 29,820,655
-1 -29,820,655

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 29,820,655.

Example:
1 x 29,820,655 = 29,820,655
and
-1 x -29,820,655 = 29,820,655
Notice both answers equal 29,820,655

With that explanation out of the way, let's continue. Next, we take the number 29,820,655 and divide it by 2:

29,820,655 ÷ 2 = 14,910,327.5

If the quotient is a whole number, then 2 and 14,910,327.5 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 29,820,655
-1 -29,820,655

Now, we try dividing 29,820,655 by 3:

29,820,655 ÷ 3 = 9,940,218.3333

If the quotient is a whole number, then 3 and 9,940,218.3333 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 29,820,655
-1 -29,820,655

Let's try dividing by 4:

29,820,655 ÷ 4 = 7,455,163.75

If the quotient is a whole number, then 4 and 7,455,163.75 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 29,820,655
-1 29,820,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15831813974159051,98515,02332,95171,85775,115164,755359,2855,964,13129,820,655
-1-5-83-181-397-415-905-1,985-15,023-32,951-71,857-75,115-164,755-359,285-5,964,131-29,820,655

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