Q: What are the factor combinations of the number 6,897,209?

 A:
Positive:   1 x 689720911 x 62701919 x 36301161 x 113069209 x 33001541 x 12749671 x 102791159 x 5951
Negative: -1 x -6897209-11 x -627019-19 x -363011-61 x -113069-209 x -33001-541 x -12749-671 x -10279-1159 x -5951


How do I find the factor combinations of the number 6,897,209?

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 6,897,209, 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 6,897,209
-1 -6,897,209

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 6,897,209.

Example:
1 x 6,897,209 = 6,897,209
and
-1 x -6,897,209 = 6,897,209
Notice both answers equal 6,897,209

With that explanation out of the way, let's continue. Next, we take the number 6,897,209 and divide it by 2:

6,897,209 ÷ 2 = 3,448,604.5

If the quotient is a whole number, then 2 and 3,448,604.5 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 6,897,209
-1 -6,897,209

Now, we try dividing 6,897,209 by 3:

6,897,209 ÷ 3 = 2,299,069.6667

If the quotient is a whole number, then 3 and 2,299,069.6667 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 6,897,209
-1 -6,897,209

Let's try dividing by 4:

6,897,209 ÷ 4 = 1,724,302.25

If the quotient is a whole number, then 4 and 1,724,302.25 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 6,897,209
-1 6,897,209
Keep dividing by the next highest number until you cannot divide anymore.

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

11119612095416711,1595,95110,27912,74933,001113,069363,011627,0196,897,209
-1-11-19-61-209-541-671-1,159-5,951-10,279-12,749-33,001-113,069-363,011-627,019-6,897,209

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,897,209:


Ask a Question