Q: What are the factor combinations of the number 2,012,075?

 A:
Positive:   1 x 20120755 x 40241513 x 15477525 x 8048341 x 4907565 x 30955151 x 13325205 x 9815325 x 6191533 x 3775755 x 26651025 x 1963
Negative: -1 x -2012075-5 x -402415-13 x -154775-25 x -80483-41 x -49075-65 x -30955-151 x -13325-205 x -9815-325 x -6191-533 x -3775-755 x -2665-1025 x -1963


How do I find the factor combinations of the number 2,012,075?

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 2,012,075, 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 2,012,075
-1 -2,012,075

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 2,012,075.

Example:
1 x 2,012,075 = 2,012,075
and
-1 x -2,012,075 = 2,012,075
Notice both answers equal 2,012,075

With that explanation out of the way, let's continue. Next, we take the number 2,012,075 and divide it by 2:

2,012,075 ÷ 2 = 1,006,037.5

If the quotient is a whole number, then 2 and 1,006,037.5 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 2,012,075
-1 -2,012,075

Now, we try dividing 2,012,075 by 3:

2,012,075 ÷ 3 = 670,691.6667

If the quotient is a whole number, then 3 and 670,691.6667 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 2,012,075
-1 -2,012,075

Let's try dividing by 4:

2,012,075 ÷ 4 = 503,018.75

If the quotient is a whole number, then 4 and 503,018.75 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 2,012,075
-1 2,012,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541651512053255337551,0251,9632,6653,7756,1919,81513,32530,95549,07580,483154,775402,4152,012,075
-1-5-13-25-41-65-151-205-325-533-755-1,025-1,963-2,665-3,775-6,191-9,815-13,325-30,955-49,075-80,483-154,775-402,415-2,012,075

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