Q: What are the factor combinations of the number 3,347,267?

 A:
Positive:   1 x 33472677 x 47818111 x 30429729 x 11542377 x 43471203 x 16489319 x 104931499 x 2233
Negative: -1 x -3347267-7 x -478181-11 x -304297-29 x -115423-77 x -43471-203 x -16489-319 x -10493-1499 x -2233


How do I find the factor combinations of the number 3,347,267?

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 3,347,267, 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 3,347,267
-1 -3,347,267

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 3,347,267.

Example:
1 x 3,347,267 = 3,347,267
and
-1 x -3,347,267 = 3,347,267
Notice both answers equal 3,347,267

With that explanation out of the way, let's continue. Next, we take the number 3,347,267 and divide it by 2:

3,347,267 ÷ 2 = 1,673,633.5

If the quotient is a whole number, then 2 and 1,673,633.5 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 3,347,267
-1 -3,347,267

Now, we try dividing 3,347,267 by 3:

3,347,267 ÷ 3 = 1,115,755.6667

If the quotient is a whole number, then 3 and 1,115,755.6667 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 3,347,267
-1 -3,347,267

Let's try dividing by 4:

3,347,267 ÷ 4 = 836,816.75

If the quotient is a whole number, then 4 and 836,816.75 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 3,347,267
-1 3,347,267
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033191,4992,23310,49316,48943,471115,423304,297478,1813,347,267
-1-7-11-29-77-203-319-1,499-2,233-10,493-16,489-43,471-115,423-304,297-478,181-3,347,267

More Examples

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