Q: What are the factor combinations of the number 33,440,407?

 A:
Positive:   1 x 334404077 x 477720111 x 304003713 x 257233977 x 43429191 x 367477121 x 276367143 x 233849847 x 394811001 x 334071573 x 212593037 x 11011
Negative: -1 x -33440407-7 x -4777201-11 x -3040037-13 x -2572339-77 x -434291-91 x -367477-121 x -276367-143 x -233849-847 x -39481-1001 x -33407-1573 x -21259-3037 x -11011


How do I find the factor combinations of the number 33,440,407?

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 33,440,407, 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 33,440,407
-1 -33,440,407

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 33,440,407.

Example:
1 x 33,440,407 = 33,440,407
and
-1 x -33,440,407 = 33,440,407
Notice both answers equal 33,440,407

With that explanation out of the way, let's continue. Next, we take the number 33,440,407 and divide it by 2:

33,440,407 ÷ 2 = 16,720,203.5

If the quotient is a whole number, then 2 and 16,720,203.5 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 33,440,407
-1 -33,440,407

Now, we try dividing 33,440,407 by 3:

33,440,407 ÷ 3 = 11,146,802.3333

If the quotient is a whole number, then 3 and 11,146,802.3333 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 33,440,407
-1 -33,440,407

Let's try dividing by 4:

33,440,407 ÷ 4 = 8,360,101.75

If the quotient is a whole number, then 4 and 8,360,101.75 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 33,440,407
-1 33,440,407
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911211438471,0011,5733,03711,01121,25933,40739,481233,849276,367367,477434,2912,572,3393,040,0374,777,20133,440,407
-1-7-11-13-77-91-121-143-847-1,001-1,573-3,037-11,011-21,259-33,407-39,481-233,849-276,367-367,477-434,291-2,572,339-3,040,037-4,777,201-33,440,407

More Examples

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