Q: What are the factor combinations of the number 20,523,055?

 A:
Positive:   1 x 205230555 x 41046117 x 293186535 x 586373383 x 535851531 x 134051915 x 107172681 x 7655
Negative: -1 x -20523055-5 x -4104611-7 x -2931865-35 x -586373-383 x -53585-1531 x -13405-1915 x -10717-2681 x -7655


How do I find the factor combinations of the number 20,523,055?

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 20,523,055, 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 20,523,055
-1 -20,523,055

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 20,523,055.

Example:
1 x 20,523,055 = 20,523,055
and
-1 x -20,523,055 = 20,523,055
Notice both answers equal 20,523,055

With that explanation out of the way, let's continue. Next, we take the number 20,523,055 and divide it by 2:

20,523,055 ÷ 2 = 10,261,527.5

If the quotient is a whole number, then 2 and 10,261,527.5 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 20,523,055
-1 -20,523,055

Now, we try dividing 20,523,055 by 3:

20,523,055 ÷ 3 = 6,841,018.3333

If the quotient is a whole number, then 3 and 6,841,018.3333 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 20,523,055
-1 -20,523,055

Let's try dividing by 4:

20,523,055 ÷ 4 = 5,130,763.75

If the quotient is a whole number, then 4 and 5,130,763.75 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 20,523,055
-1 20,523,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157353831,5311,9152,6817,65510,71713,40553,585586,3732,931,8654,104,61120,523,055
-1-5-7-35-383-1,531-1,915-2,681-7,655-10,717-13,405-53,585-586,373-2,931,865-4,104,611-20,523,055

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