Q: What are the factor combinations of the number 6,162,737?

 A:
Positive:   1 x 61627377 x 880391757 x 81411163 x 5299
Negative: -1 x -6162737-7 x -880391-757 x -8141-1163 x -5299


How do I find the factor combinations of the number 6,162,737?

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 6,162,737, 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 6,162,737
-1 -6,162,737

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 6,162,737.

Example:
1 x 6,162,737 = 6,162,737
and
-1 x -6,162,737 = 6,162,737
Notice both answers equal 6,162,737

With that explanation out of the way, let's continue. Next, we take the number 6,162,737 and divide it by 2:

6,162,737 ÷ 2 = 3,081,368.5

If the quotient is a whole number, then 2 and 3,081,368.5 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 6,162,737
-1 -6,162,737

Now, we try dividing 6,162,737 by 3:

6,162,737 ÷ 3 = 2,054,245.6667

If the quotient is a whole number, then 3 and 2,054,245.6667 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 6,162,737
-1 -6,162,737

Let's try dividing by 4:

6,162,737 ÷ 4 = 1,540,684.25

If the quotient is a whole number, then 4 and 1,540,684.25 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 6,162,737
-1 6,162,737
Keep dividing by the next highest number until you cannot divide anymore.

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

177571,1635,2998,141880,3916,162,737
-1-7-757-1,163-5,299-8,141-880,391-6,162,737

More Examples

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