Q: What are the factor combinations of the number 20,130,035?

 A:
Positive:   1 x 201300355 x 402600737 x 544055185 x 108811233 x 86395467 x 431051165 x 172792335 x 8621
Negative: -1 x -20130035-5 x -4026007-37 x -544055-185 x -108811-233 x -86395-467 x -43105-1165 x -17279-2335 x -8621


How do I find the factor combinations of the number 20,130,035?

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 20,130,035, 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 20,130,035
-1 -20,130,035

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 20,130,035.

Example:
1 x 20,130,035 = 20,130,035
and
-1 x -20,130,035 = 20,130,035
Notice both answers equal 20,130,035

With that explanation out of the way, let's continue. Next, we take the number 20,130,035 and divide it by 2:

20,130,035 ÷ 2 = 10,065,017.5

If the quotient is a whole number, then 2 and 10,065,017.5 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 20,130,035
-1 -20,130,035

Now, we try dividing 20,130,035 by 3:

20,130,035 ÷ 3 = 6,710,011.6667

If the quotient is a whole number, then 3 and 6,710,011.6667 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 20,130,035
-1 -20,130,035

Let's try dividing by 4:

20,130,035 ÷ 4 = 5,032,508.75

If the quotient is a whole number, then 4 and 5,032,508.75 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 20,130,035
-1 20,130,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852334671,1652,3358,62117,27943,10586,395108,811544,0554,026,00720,130,035
-1-5-37-185-233-467-1,165-2,335-8,621-17,279-43,105-86,395-108,811-544,055-4,026,007-20,130,035

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