Q: What are the factor combinations of the number 3,402,707?

 A:
Positive:   1 x 34027077 x 48610111 x 30933749 x 6944359 x 5767377 x 44191107 x 31801413 x 8239539 x 6313649 x 5243749 x 45431177 x 2891
Negative: -1 x -3402707-7 x -486101-11 x -309337-49 x -69443-59 x -57673-77 x -44191-107 x -31801-413 x -8239-539 x -6313-649 x -5243-749 x -4543-1177 x -2891


How do I find the factor combinations of the number 3,402,707?

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 3,402,707, 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 3,402,707
-1 -3,402,707

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 3,402,707.

Example:
1 x 3,402,707 = 3,402,707
and
-1 x -3,402,707 = 3,402,707
Notice both answers equal 3,402,707

With that explanation out of the way, let's continue. Next, we take the number 3,402,707 and divide it by 2:

3,402,707 ÷ 2 = 1,701,353.5

If the quotient is a whole number, then 2 and 1,701,353.5 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 3,402,707
-1 -3,402,707

Now, we try dividing 3,402,707 by 3:

3,402,707 ÷ 3 = 1,134,235.6667

If the quotient is a whole number, then 3 and 1,134,235.6667 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 3,402,707
-1 -3,402,707

Let's try dividing by 4:

3,402,707 ÷ 4 = 850,676.75

If the quotient is a whole number, then 4 and 850,676.75 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 3,402,707
-1 3,402,707
Keep dividing by the next highest number until you cannot divide anymore.

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

17114959771074135396497491,1772,8914,5435,2436,3138,23931,80144,19157,67369,443309,337486,1013,402,707
-1-7-11-49-59-77-107-413-539-649-749-1,177-2,891-4,543-5,243-6,313-8,239-31,801-44,191-57,673-69,443-309,337-486,101-3,402,707

More Examples

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