Q: What are the factor combinations of the number 435,424,055?

 A:
Positive:   1 x 4354240555 x 8708481111 x 3958400555 x 79168011531 x 2844055171 x 842057655 x 5688116841 x 25855
Negative: -1 x -435424055-5 x -87084811-11 x -39584005-55 x -7916801-1531 x -284405-5171 x -84205-7655 x -56881-16841 x -25855


How do I find the factor combinations of the number 435,424,055?

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 435,424,055, 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.

1 435,424,055
-1 -435,424,055

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 435,424,055.

Example:
1 x 435,424,055 = 435,424,055
and
-1 x -435,424,055 = 435,424,055
Notice both answers equal 435,424,055

With that explanation out of the way, let's continue. Next, we take the number 435,424,055 and divide it by 2:

435,424,055 ÷ 2 = 217,712,027.5

If the quotient is a whole number, then 2 and 217,712,027.5 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:

1 435,424,055
-1 -435,424,055

Now, we try dividing 435,424,055 by 3:

435,424,055 ÷ 3 = 145,141,351.6667

If the quotient is a whole number, then 3 and 145,141,351.6667 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:

1 435,424,055
-1 -435,424,055

Let's try dividing by 4:

435,424,055 ÷ 4 = 108,856,013.75

If the quotient is a whole number, then 4 and 108,856,013.75 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:

1 435,424,055
-1 435,424,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,5315,1717,65516,84125,85556,88184,205284,4057,916,80139,584,00587,084,811435,424,055
-1-5-11-55-1,531-5,171-7,655-16,841-25,855-56,881-84,205-284,405-7,916,801-39,584,005-87,084,811-435,424,055

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