Q: What are the factor combinations of the number 20,012,575?

 A:
Positive:   1 x 200125755 x 400251511 x 181932525 x 80050355 x 36386561 x 328075275 x 72773305 x 65615671 x 298251193 x 167751525 x 131233355 x 5965
Negative: -1 x -20012575-5 x -4002515-11 x -1819325-25 x -800503-55 x -363865-61 x -328075-275 x -72773-305 x -65615-671 x -29825-1193 x -16775-1525 x -13123-3355 x -5965


How do I find the factor combinations of the number 20,012,575?

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 20,012,575, 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 20,012,575
-1 -20,012,575

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 20,012,575.

Example:
1 x 20,012,575 = 20,012,575
and
-1 x -20,012,575 = 20,012,575
Notice both answers equal 20,012,575

With that explanation out of the way, let's continue. Next, we take the number 20,012,575 and divide it by 2:

20,012,575 ÷ 2 = 10,006,287.5

If the quotient is a whole number, then 2 and 10,006,287.5 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 20,012,575
-1 -20,012,575

Now, we try dividing 20,012,575 by 3:

20,012,575 ÷ 3 = 6,670,858.3333

If the quotient is a whole number, then 3 and 6,670,858.3333 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 20,012,575
-1 -20,012,575

Let's try dividing by 4:

20,012,575 ÷ 4 = 5,003,143.75

If the quotient is a whole number, then 4 and 5,003,143.75 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 20,012,575
-1 20,012,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555612753056711,1931,5253,3555,96513,12316,77529,82565,61572,773328,075363,865800,5031,819,3254,002,51520,012,575
-1-5-11-25-55-61-275-305-671-1,193-1,525-3,355-5,965-13,123-16,775-29,825-65,615-72,773-328,075-363,865-800,503-1,819,325-4,002,515-20,012,575

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