Q: What are the factor combinations of the number 20,228,455?

 A:
Positive:   1 x 202284555 x 404569113 x 155603537 x 54671565 x 311207169 x 119695185 x 109343481 x 42055647 x 31265845 x 239392405 x 84113235 x 6253
Negative: -1 x -20228455-5 x -4045691-13 x -1556035-37 x -546715-65 x -311207-169 x -119695-185 x -109343-481 x -42055-647 x -31265-845 x -23939-2405 x -8411-3235 x -6253


How do I find the factor combinations of the number 20,228,455?

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 20,228,455, 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 20,228,455
-1 -20,228,455

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 20,228,455.

Example:
1 x 20,228,455 = 20,228,455
and
-1 x -20,228,455 = 20,228,455
Notice both answers equal 20,228,455

With that explanation out of the way, let's continue. Next, we take the number 20,228,455 and divide it by 2:

20,228,455 ÷ 2 = 10,114,227.5

If the quotient is a whole number, then 2 and 10,114,227.5 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 20,228,455
-1 -20,228,455

Now, we try dividing 20,228,455 by 3:

20,228,455 ÷ 3 = 6,742,818.3333

If the quotient is a whole number, then 3 and 6,742,818.3333 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 20,228,455
-1 -20,228,455

Let's try dividing by 4:

20,228,455 ÷ 4 = 5,057,113.75

If the quotient is a whole number, then 4 and 5,057,113.75 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 20,228,455
-1 20,228,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651691854816478452,4053,2356,2538,41123,93931,26542,055109,343119,695311,207546,7151,556,0354,045,69120,228,455
-1-5-13-37-65-169-185-481-647-845-2,405-3,235-6,253-8,411-23,939-31,265-42,055-109,343-119,695-311,207-546,715-1,556,035-4,045,691-20,228,455

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