Q: What are the factor combinations of the number 3,688,643?

 A:
Positive:   1 x 36886437 x 52694917 x 216979119 x 30997139 x 26537223 x 16541973 x 37911561 x 2363
Negative: -1 x -3688643-7 x -526949-17 x -216979-119 x -30997-139 x -26537-223 x -16541-973 x -3791-1561 x -2363


How do I find the factor combinations of the number 3,688,643?

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 3,688,643, 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 3,688,643
-1 -3,688,643

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 3,688,643.

Example:
1 x 3,688,643 = 3,688,643
and
-1 x -3,688,643 = 3,688,643
Notice both answers equal 3,688,643

With that explanation out of the way, let's continue. Next, we take the number 3,688,643 and divide it by 2:

3,688,643 ÷ 2 = 1,844,321.5

If the quotient is a whole number, then 2 and 1,844,321.5 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 3,688,643
-1 -3,688,643

Now, we try dividing 3,688,643 by 3:

3,688,643 ÷ 3 = 1,229,547.6667

If the quotient is a whole number, then 3 and 1,229,547.6667 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 3,688,643
-1 -3,688,643

Let's try dividing by 4:

3,688,643 ÷ 4 = 922,160.75

If the quotient is a whole number, then 4 and 922,160.75 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 3,688,643
-1 3,688,643
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191392239731,5612,3633,79116,54126,53730,997216,979526,9493,688,643
-1-7-17-119-139-223-973-1,561-2,363-3,791-16,541-26,537-30,997-216,979-526,949-3,688,643

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,688,643:


Ask a Question