Q: What are the factor combinations of the number 20,187,035?

 A:
Positive:   1 x 201870355 x 403740711 x 183518555 x 36703761 x 330935121 x 166835305 x 66187547 x 36905605 x 33367671 x 300852735 x 73813355 x 6017
Negative: -1 x -20187035-5 x -4037407-11 x -1835185-55 x -367037-61 x -330935-121 x -166835-305 x -66187-547 x -36905-605 x -33367-671 x -30085-2735 x -7381-3355 x -6017


How do I find the factor combinations of the number 20,187,035?

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 20,187,035, 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 20,187,035
-1 -20,187,035

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 20,187,035.

Example:
1 x 20,187,035 = 20,187,035
and
-1 x -20,187,035 = 20,187,035
Notice both answers equal 20,187,035

With that explanation out of the way, let's continue. Next, we take the number 20,187,035 and divide it by 2:

20,187,035 ÷ 2 = 10,093,517.5

If the quotient is a whole number, then 2 and 10,093,517.5 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 20,187,035
-1 -20,187,035

Now, we try dividing 20,187,035 by 3:

20,187,035 ÷ 3 = 6,729,011.6667

If the quotient is a whole number, then 3 and 6,729,011.6667 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 20,187,035
-1 -20,187,035

Let's try dividing by 4:

20,187,035 ÷ 4 = 5,046,758.75

If the quotient is a whole number, then 4 and 5,046,758.75 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 20,187,035
-1 20,187,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151155611213055476056712,7353,3556,0177,38130,08533,36736,90566,187166,835330,935367,0371,835,1854,037,40720,187,035
-1-5-11-55-61-121-305-547-605-671-2,735-3,355-6,017-7,381-30,085-33,367-36,905-66,187-166,835-330,935-367,037-1,835,185-4,037,407-20,187,035

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