Q: What are the factor combinations of the number 20,429,305?

 A:
Positive:   1 x 204293055 x 408586113 x 157148565 x 31429767 x 304915335 x 60983871 x 234554355 x 4691
Negative: -1 x -20429305-5 x -4085861-13 x -1571485-65 x -314297-67 x -304915-335 x -60983-871 x -23455-4355 x -4691


How do I find the factor combinations of the number 20,429,305?

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 20,429,305, 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 20,429,305
-1 -20,429,305

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 20,429,305.

Example:
1 x 20,429,305 = 20,429,305
and
-1 x -20,429,305 = 20,429,305
Notice both answers equal 20,429,305

With that explanation out of the way, let's continue. Next, we take the number 20,429,305 and divide it by 2:

20,429,305 ÷ 2 = 10,214,652.5

If the quotient is a whole number, then 2 and 10,214,652.5 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 20,429,305
-1 -20,429,305

Now, we try dividing 20,429,305 by 3:

20,429,305 ÷ 3 = 6,809,768.3333

If the quotient is a whole number, then 3 and 6,809,768.3333 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 20,429,305
-1 -20,429,305

Let's try dividing by 4:

20,429,305 ÷ 4 = 5,107,326.25

If the quotient is a whole number, then 4 and 5,107,326.25 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 20,429,305
-1 20,429,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151365673358714,3554,69123,45560,983304,915314,2971,571,4854,085,86120,429,305
-1-5-13-65-67-335-871-4,355-4,691-23,455-60,983-304,915-314,297-1,571,485-4,085,861-20,429,305

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