Q: What are the factor combinations of the number 33,402,325?

 A:
Positive:   1 x 334023255 x 668046511 x 303657523 x 145227525 x 133609355 x 607315115 x 290455253 x 132025275 x 121463575 x 580911265 x 264055281 x 6325
Negative: -1 x -33402325-5 x -6680465-11 x -3036575-23 x -1452275-25 x -1336093-55 x -607315-115 x -290455-253 x -132025-275 x -121463-575 x -58091-1265 x -26405-5281 x -6325


How do I find the factor combinations of the number 33,402,325?

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 33,402,325, 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 33,402,325
-1 -33,402,325

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 33,402,325.

Example:
1 x 33,402,325 = 33,402,325
and
-1 x -33,402,325 = 33,402,325
Notice both answers equal 33,402,325

With that explanation out of the way, let's continue. Next, we take the number 33,402,325 and divide it by 2:

33,402,325 ÷ 2 = 16,701,162.5

If the quotient is a whole number, then 2 and 16,701,162.5 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 33,402,325
-1 -33,402,325

Now, we try dividing 33,402,325 by 3:

33,402,325 ÷ 3 = 11,134,108.3333

If the quotient is a whole number, then 3 and 11,134,108.3333 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 33,402,325
-1 -33,402,325

Let's try dividing by 4:

33,402,325 ÷ 4 = 8,350,581.25

If the quotient is a whole number, then 4 and 8,350,581.25 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 33,402,325
-1 33,402,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2655,2816,32526,40558,091121,463132,025290,455607,3151,336,0931,452,2753,036,5756,680,46533,402,325
-1-5-11-23-25-55-115-253-275-575-1,265-5,281-6,325-26,405-58,091-121,463-132,025-290,455-607,315-1,336,093-1,452,275-3,036,575-6,680,465-33,402,325

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