Q: What are the factor combinations of the number 20,067,505?

 A:
Positive:   1 x 200675055 x 401350137 x 54236567 x 299515185 x 108473335 x 599031619 x 123952479 x 8095
Negative: -1 x -20067505-5 x -4013501-37 x -542365-67 x -299515-185 x -108473-335 x -59903-1619 x -12395-2479 x -8095


How do I find the factor combinations of the number 20,067,505?

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 20,067,505, 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 20,067,505
-1 -20,067,505

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 20,067,505.

Example:
1 x 20,067,505 = 20,067,505
and
-1 x -20,067,505 = 20,067,505
Notice both answers equal 20,067,505

With that explanation out of the way, let's continue. Next, we take the number 20,067,505 and divide it by 2:

20,067,505 ÷ 2 = 10,033,752.5

If the quotient is a whole number, then 2 and 10,033,752.5 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 20,067,505
-1 -20,067,505

Now, we try dividing 20,067,505 by 3:

20,067,505 ÷ 3 = 6,689,168.3333

If the quotient is a whole number, then 3 and 6,689,168.3333 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 20,067,505
-1 -20,067,505

Let's try dividing by 4:

20,067,505 ÷ 4 = 5,016,876.25

If the quotient is a whole number, then 4 and 5,016,876.25 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 20,067,505
-1 20,067,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1537671853351,6192,4798,09512,39559,903108,473299,515542,3654,013,50120,067,505
-1-5-37-67-185-335-1,619-2,479-8,095-12,395-59,903-108,473-299,515-542,365-4,013,501-20,067,505

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