Q: What are the factor combinations of the number 3,637,711?

 A:
Positive:   1 x 36377117 x 51967311 x 33070117 x 21398349 x 7423977 x 47243119 x 30569187 x 19453397 x 9163539 x 6749833 x 43671309 x 2779
Negative: -1 x -3637711-7 x -519673-11 x -330701-17 x -213983-49 x -74239-77 x -47243-119 x -30569-187 x -19453-397 x -9163-539 x -6749-833 x -4367-1309 x -2779


How do I find the factor combinations of the number 3,637,711?

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 3,637,711, 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 3,637,711
-1 -3,637,711

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 3,637,711.

Example:
1 x 3,637,711 = 3,637,711
and
-1 x -3,637,711 = 3,637,711
Notice both answers equal 3,637,711

With that explanation out of the way, let's continue. Next, we take the number 3,637,711 and divide it by 2:

3,637,711 ÷ 2 = 1,818,855.5

If the quotient is a whole number, then 2 and 1,818,855.5 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 3,637,711
-1 -3,637,711

Now, we try dividing 3,637,711 by 3:

3,637,711 ÷ 3 = 1,212,570.3333

If the quotient is a whole number, then 3 and 1,212,570.3333 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 3,637,711
-1 -3,637,711

Let's try dividing by 4:

3,637,711 ÷ 4 = 909,427.75

If the quotient is a whole number, then 4 and 909,427.75 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 3,637,711
-1 3,637,711
Keep dividing by the next highest number until you cannot divide anymore.

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

17111749771191873975398331,3092,7794,3676,7499,16319,45330,56947,24374,239213,983330,701519,6733,637,711
-1-7-11-17-49-77-119-187-397-539-833-1,309-2,779-4,367-6,749-9,163-19,453-30,569-47,243-74,239-213,983-330,701-519,673-3,637,711

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,637,711:


Ask a Question