Q: What are the factor combinations of the number 20,017,075?

 A:
Positive:   1 x 200170755 x 400341513 x 153977517 x 117747525 x 80068365 x 30795585 x 235495221 x 90575325 x 61591425 x 470991105 x 181153623 x 5525
Negative: -1 x -20017075-5 x -4003415-13 x -1539775-17 x -1177475-25 x -800683-65 x -307955-85 x -235495-221 x -90575-325 x -61591-425 x -47099-1105 x -18115-3623 x -5525


How do I find the factor combinations of the number 20,017,075?

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 20,017,075, 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 20,017,075
-1 -20,017,075

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 20,017,075.

Example:
1 x 20,017,075 = 20,017,075
and
-1 x -20,017,075 = 20,017,075
Notice both answers equal 20,017,075

With that explanation out of the way, let's continue. Next, we take the number 20,017,075 and divide it by 2:

20,017,075 ÷ 2 = 10,008,537.5

If the quotient is a whole number, then 2 and 10,008,537.5 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 20,017,075
-1 -20,017,075

Now, we try dividing 20,017,075 by 3:

20,017,075 ÷ 3 = 6,672,358.3333

If the quotient is a whole number, then 3 and 6,672,358.3333 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 20,017,075
-1 -20,017,075

Let's try dividing by 4:

20,017,075 ÷ 4 = 5,004,268.75

If the quotient is a whole number, then 4 and 5,004,268.75 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 20,017,075
-1 20,017,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565852213254251,1053,6235,52518,11547,09961,59190,575235,495307,955800,6831,177,4751,539,7754,003,41520,017,075
-1-5-13-17-25-65-85-221-325-425-1,105-3,623-5,525-18,115-47,099-61,591-90,575-235,495-307,955-800,683-1,177,475-1,539,775-4,003,415-20,017,075

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