Q: What are the factor combinations of the number 333,501,125?

 A:
Positive:   1 x 3335011255 x 6670022525 x 13340045103 x 3237875125 x 2668009515 x 6475752575 x 12951512875 x 25903
Negative: -1 x -333501125-5 x -66700225-25 x -13340045-103 x -3237875-125 x -2668009-515 x -647575-2575 x -129515-12875 x -25903


How do I find the factor combinations of the number 333,501,125?

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 333,501,125, 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.

1 333,501,125
-1 -333,501,125

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 333,501,125.

Example:
1 x 333,501,125 = 333,501,125
and
-1 x -333,501,125 = 333,501,125
Notice both answers equal 333,501,125

With that explanation out of the way, let's continue. Next, we take the number 333,501,125 and divide it by 2:

333,501,125 ÷ 2 = 166,750,562.5

If the quotient is a whole number, then 2 and 166,750,562.5 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:

1 333,501,125
-1 -333,501,125

Now, we try dividing 333,501,125 by 3:

333,501,125 ÷ 3 = 111,167,041.6667

If the quotient is a whole number, then 3 and 111,167,041.6667 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:

1 333,501,125
-1 -333,501,125

Let's try dividing by 4:

333,501,125 ÷ 4 = 83,375,281.25

If the quotient is a whole number, then 4 and 83,375,281.25 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:

1 333,501,125
-1 333,501,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251031255152,57512,87525,903129,515647,5752,668,0093,237,87513,340,04566,700,225333,501,125
-1-5-25-103-125-515-2,575-12,875-25,903-129,515-647,575-2,668,009-3,237,875-13,340,045-66,700,225-333,501,125

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