Q: What are the factor combinations of the number 3,173,443?

 A:
Positive:   1 x 31734437 x 45334913 x 24411143 x 7380191 x 34873301 x 10543559 x 5677811 x 3913
Negative: -1 x -3173443-7 x -453349-13 x -244111-43 x -73801-91 x -34873-301 x -10543-559 x -5677-811 x -3913


How do I find the factor combinations of the number 3,173,443?

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 3,173,443, 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 3,173,443
-1 -3,173,443

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 3,173,443.

Example:
1 x 3,173,443 = 3,173,443
and
-1 x -3,173,443 = 3,173,443
Notice both answers equal 3,173,443

With that explanation out of the way, let's continue. Next, we take the number 3,173,443 and divide it by 2:

3,173,443 ÷ 2 = 1,586,721.5

If the quotient is a whole number, then 2 and 1,586,721.5 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 3,173,443
-1 -3,173,443

Now, we try dividing 3,173,443 by 3:

3,173,443 ÷ 3 = 1,057,814.3333

If the quotient is a whole number, then 3 and 1,057,814.3333 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 3,173,443
-1 -3,173,443

Let's try dividing by 4:

3,173,443 ÷ 4 = 793,360.75

If the quotient is a whole number, then 4 and 793,360.75 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 3,173,443
-1 3,173,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171343913015598113,9135,67710,54334,87373,801244,111453,3493,173,443
-1-7-13-43-91-301-559-811-3,913-5,677-10,543-34,873-73,801-244,111-453,349-3,173,443

More Examples

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