Q: What are the factor combinations of the number 6,918,815?

 A:
Positive:   1 x 69188155 x 138376337 x 186995149 x 46435185 x 37399251 x 27565745 x 92871255 x 5513
Negative: -1 x -6918815-5 x -1383763-37 x -186995-149 x -46435-185 x -37399-251 x -27565-745 x -9287-1255 x -5513


How do I find the factor combinations of the number 6,918,815?

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 6,918,815, 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 6,918,815
-1 -6,918,815

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 6,918,815.

Example:
1 x 6,918,815 = 6,918,815
and
-1 x -6,918,815 = 6,918,815
Notice both answers equal 6,918,815

With that explanation out of the way, let's continue. Next, we take the number 6,918,815 and divide it by 2:

6,918,815 ÷ 2 = 3,459,407.5

If the quotient is a whole number, then 2 and 3,459,407.5 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 6,918,815
-1 -6,918,815

Now, we try dividing 6,918,815 by 3:

6,918,815 ÷ 3 = 2,306,271.6667

If the quotient is a whole number, then 3 and 2,306,271.6667 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 6,918,815
-1 -6,918,815

Let's try dividing by 4:

6,918,815 ÷ 4 = 1,729,703.75

If the quotient is a whole number, then 4 and 1,729,703.75 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 6,918,815
-1 6,918,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15371491852517451,2555,5139,28727,56537,39946,435186,9951,383,7636,918,815
-1-5-37-149-185-251-745-1,255-5,513-9,287-27,565-37,399-46,435-186,995-1,383,763-6,918,815

More Examples

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