Q: What are the factor combinations of the number 6,727,403?

 A:
Positive:   1 x 672740331 x 21701341 x 16408367 x 10040979 x 851571271 x 52932077 x 32392449 x 2747
Negative: -1 x -6727403-31 x -217013-41 x -164083-67 x -100409-79 x -85157-1271 x -5293-2077 x -3239-2449 x -2747


How do I find the factor combinations of the number 6,727,403?

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 6,727,403, 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 6,727,403
-1 -6,727,403

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 6,727,403.

Example:
1 x 6,727,403 = 6,727,403
and
-1 x -6,727,403 = 6,727,403
Notice both answers equal 6,727,403

With that explanation out of the way, let's continue. Next, we take the number 6,727,403 and divide it by 2:

6,727,403 ÷ 2 = 3,363,701.5

If the quotient is a whole number, then 2 and 3,363,701.5 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 6,727,403
-1 -6,727,403

Now, we try dividing 6,727,403 by 3:

6,727,403 ÷ 3 = 2,242,467.6667

If the quotient is a whole number, then 3 and 2,242,467.6667 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 6,727,403
-1 -6,727,403

Let's try dividing by 4:

6,727,403 ÷ 4 = 1,681,850.75

If the quotient is a whole number, then 4 and 1,681,850.75 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 6,727,403
-1 6,727,403
Keep dividing by the next highest number until you cannot divide anymore.

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

1314167791,2712,0772,4492,7473,2395,29385,157100,409164,083217,0136,727,403
-1-31-41-67-79-1,271-2,077-2,449-2,747-3,239-5,293-85,157-100,409-164,083-217,013-6,727,403

More Examples

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