Q: What are the factor combinations of the number 2,696,309?

 A:
Positive:   1 x 26963097 x 38518711 x 24511919 x 14191177 x 3501797 x 27797133 x 20273209 x 12901361 x 7469679 x 39711067 x 25271463 x 1843
Negative: -1 x -2696309-7 x -385187-11 x -245119-19 x -141911-77 x -35017-97 x -27797-133 x -20273-209 x -12901-361 x -7469-679 x -3971-1067 x -2527-1463 x -1843


How do I find the factor combinations of the number 2,696,309?

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 2,696,309, 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 2,696,309
-1 -2,696,309

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 2,696,309.

Example:
1 x 2,696,309 = 2,696,309
and
-1 x -2,696,309 = 2,696,309
Notice both answers equal 2,696,309

With that explanation out of the way, let's continue. Next, we take the number 2,696,309 and divide it by 2:

2,696,309 ÷ 2 = 1,348,154.5

If the quotient is a whole number, then 2 and 1,348,154.5 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 2,696,309
-1 -2,696,309

Now, we try dividing 2,696,309 by 3:

2,696,309 ÷ 3 = 898,769.6667

If the quotient is a whole number, then 3 and 898,769.6667 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 2,696,309
-1 -2,696,309

Let's try dividing by 4:

2,696,309 ÷ 4 = 674,077.25

If the quotient is a whole number, then 4 and 674,077.25 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 2,696,309
-1 2,696,309
Keep dividing by the next highest number until you cannot divide anymore.

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

17111977971332093616791,0671,4631,8432,5273,9717,46912,90120,27327,79735,017141,911245,119385,1872,696,309
-1-7-11-19-77-97-133-209-361-679-1,067-1,463-1,843-2,527-3,971-7,469-12,901-20,273-27,797-35,017-141,911-245,119-385,187-2,696,309

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,696,309:


Ask a Question