Q: What are the factor combinations of the number 3,353,375?

 A:
Positive:   1 x 33533755 x 67067525 x 134135125 x 26827139 x 24125193 x 17375695 x 4825965 x 3475
Negative: -1 x -3353375-5 x -670675-25 x -134135-125 x -26827-139 x -24125-193 x -17375-695 x -4825-965 x -3475


How do I find the factor combinations of the number 3,353,375?

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 3,353,375, 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 3,353,375
-1 -3,353,375

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 3,353,375.

Example:
1 x 3,353,375 = 3,353,375
and
-1 x -3,353,375 = 3,353,375
Notice both answers equal 3,353,375

With that explanation out of the way, let's continue. Next, we take the number 3,353,375 and divide it by 2:

3,353,375 ÷ 2 = 1,676,687.5

If the quotient is a whole number, then 2 and 1,676,687.5 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 3,353,375
-1 -3,353,375

Now, we try dividing 3,353,375 by 3:

3,353,375 ÷ 3 = 1,117,791.6667

If the quotient is a whole number, then 3 and 1,117,791.6667 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 3,353,375
-1 -3,353,375

Let's try dividing by 4:

3,353,375 ÷ 4 = 838,343.75

If the quotient is a whole number, then 4 and 838,343.75 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 3,353,375
-1 3,353,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251391936959653,4754,82517,37524,12526,827134,135670,6753,353,375
-1-5-25-125-139-193-695-965-3,475-4,825-17,375-24,125-26,827-134,135-670,675-3,353,375

More Examples

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