Q: What are the factor combinations of the number 133,422,425?

 A:
Positive:   1 x 1334224255 x 2668448523 x 580097525 x 533689747 x 2838775115 x 1160195235 x 567755575 x 2320391081 x 1234251175 x 1135514937 x 270255405 x 24685
Negative: -1 x -133422425-5 x -26684485-23 x -5800975-25 x -5336897-47 x -2838775-115 x -1160195-235 x -567755-575 x -232039-1081 x -123425-1175 x -113551-4937 x -27025-5405 x -24685


How do I find the factor combinations of the number 133,422,425?

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 133,422,425, 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.

1 133,422,425
-1 -133,422,425

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 133,422,425.

Example:
1 x 133,422,425 = 133,422,425
and
-1 x -133,422,425 = 133,422,425
Notice both answers equal 133,422,425

With that explanation out of the way, let's continue. Next, we take the number 133,422,425 and divide it by 2:

133,422,425 ÷ 2 = 66,711,212.5

If the quotient is a whole number, then 2 and 66,711,212.5 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:

1 133,422,425
-1 -133,422,425

Now, we try dividing 133,422,425 by 3:

133,422,425 ÷ 3 = 44,474,141.6667

If the quotient is a whole number, then 3 and 44,474,141.6667 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:

1 133,422,425
-1 -133,422,425

Let's try dividing by 4:

133,422,425 ÷ 4 = 33,355,606.25

If the quotient is a whole number, then 4 and 33,355,606.25 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:

1 133,422,425
-1 133,422,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325471152355751,0811,1754,9375,40524,68527,025113,551123,425232,039567,7551,160,1952,838,7755,336,8975,800,97526,684,485133,422,425
-1-5-23-25-47-115-235-575-1,081-1,175-4,937-5,405-24,685-27,025-113,551-123,425-232,039-567,755-1,160,195-2,838,775-5,336,897-5,800,975-26,684,485-133,422,425

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