Q: What are the factor combinations of the number 45,531,655?

 A:
Positive:   1 x 455316555 x 910633113 x 350243565 x 700487113 x 402935565 x 805871469 x 309956199 x 7345
Negative: -1 x -45531655-5 x -9106331-13 x -3502435-65 x -700487-113 x -402935-565 x -80587-1469 x -30995-6199 x -7345


How do I find the factor combinations of the number 45,531,655?

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 45,531,655, 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 45,531,655
-1 -45,531,655

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 45,531,655.

Example:
1 x 45,531,655 = 45,531,655
and
-1 x -45,531,655 = 45,531,655
Notice both answers equal 45,531,655

With that explanation out of the way, let's continue. Next, we take the number 45,531,655 and divide it by 2:

45,531,655 ÷ 2 = 22,765,827.5

If the quotient is a whole number, then 2 and 22,765,827.5 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 45,531,655
-1 -45,531,655

Now, we try dividing 45,531,655 by 3:

45,531,655 ÷ 3 = 15,177,218.3333

If the quotient is a whole number, then 3 and 15,177,218.3333 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 45,531,655
-1 -45,531,655

Let's try dividing by 4:

45,531,655 ÷ 4 = 11,382,913.75

If the quotient is a whole number, then 4 and 11,382,913.75 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 45,531,655
-1 45,531,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651135651,4696,1997,34530,99580,587402,935700,4873,502,4359,106,33145,531,655
-1-5-13-65-113-565-1,469-6,199-7,345-30,995-80,587-402,935-700,487-3,502,435-9,106,331-45,531,655

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