Q: What are the factor combinations of the number 332,424,001?

 A:
Positive:   1 x 3324240017 x 4748914313 x 2557107717 x 1955435391 x 3653011119 x 2793479221 x 15041811547 x 214883
Negative: -1 x -332424001-7 x -47489143-13 x -25571077-17 x -19554353-91 x -3653011-119 x -2793479-221 x -1504181-1547 x -214883


How do I find the factor combinations of the number 332,424,001?

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 332,424,001, 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.

1 332,424,001
-1 -332,424,001

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 332,424,001.

Example:
1 x 332,424,001 = 332,424,001
and
-1 x -332,424,001 = 332,424,001
Notice both answers equal 332,424,001

With that explanation out of the way, let's continue. Next, we take the number 332,424,001 and divide it by 2:

332,424,001 ÷ 2 = 166,212,000.5

If the quotient is a whole number, then 2 and 166,212,000.5 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:

1 332,424,001
-1 -332,424,001

Now, we try dividing 332,424,001 by 3:

332,424,001 ÷ 3 = 110,808,000.3333

If the quotient is a whole number, then 3 and 110,808,000.3333 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:

1 332,424,001
-1 -332,424,001

Let's try dividing by 4:

332,424,001 ÷ 4 = 83,106,000.25

If the quotient is a whole number, then 4 and 83,106,000.25 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:

1 332,424,001
-1 332,424,001
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,547214,8831,504,1812,793,4793,653,01119,554,35325,571,07747,489,143332,424,001
-1-7-13-17-91-119-221-1,547-214,883-1,504,181-2,793,479-3,653,011-19,554,353-25,571,077-47,489,143-332,424,001

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