Q: What are the factor combinations of the number 415,522,055?

 A:
Positive:   1 x 4155220555 x 8310441113 x 3196323565 x 63926471087 x 3822655435 x 764535881 x 7065514131 x 29405
Negative: -1 x -415522055-5 x -83104411-13 x -31963235-65 x -6392647-1087 x -382265-5435 x -76453-5881 x -70655-14131 x -29405


How do I find the factor combinations of the number 415,522,055?

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 415,522,055, 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.

1 415,522,055
-1 -415,522,055

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 415,522,055.

Example:
1 x 415,522,055 = 415,522,055
and
-1 x -415,522,055 = 415,522,055
Notice both answers equal 415,522,055

With that explanation out of the way, let's continue. Next, we take the number 415,522,055 and divide it by 2:

415,522,055 ÷ 2 = 207,761,027.5

If the quotient is a whole number, then 2 and 207,761,027.5 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:

1 415,522,055
-1 -415,522,055

Now, we try dividing 415,522,055 by 3:

415,522,055 ÷ 3 = 138,507,351.6667

If the quotient is a whole number, then 3 and 138,507,351.6667 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:

1 415,522,055
-1 -415,522,055

Let's try dividing by 4:

415,522,055 ÷ 4 = 103,880,513.75

If the quotient is a whole number, then 4 and 103,880,513.75 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:

1 415,522,055
-1 415,522,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,0875,4355,88114,13129,40570,65576,453382,2656,392,64731,963,23583,104,411415,522,055
-1-5-13-65-1,087-5,435-5,881-14,131-29,405-70,655-76,453-382,265-6,392,647-31,963,235-83,104,411-415,522,055

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