Q: What are the factor combinations of the number 7,678,069?

 A:
Positive:   1 x 76780697 x 109686729 x 264761109 x 70441203 x 37823347 x 22127763 x 100632429 x 3161
Negative: -1 x -7678069-7 x -1096867-29 x -264761-109 x -70441-203 x -37823-347 x -22127-763 x -10063-2429 x -3161


How do I find the factor combinations of the number 7,678,069?

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 7,678,069, 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 7,678,069
-1 -7,678,069

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 7,678,069.

Example:
1 x 7,678,069 = 7,678,069
and
-1 x -7,678,069 = 7,678,069
Notice both answers equal 7,678,069

With that explanation out of the way, let's continue. Next, we take the number 7,678,069 and divide it by 2:

7,678,069 ÷ 2 = 3,839,034.5

If the quotient is a whole number, then 2 and 3,839,034.5 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 7,678,069
-1 -7,678,069

Now, we try dividing 7,678,069 by 3:

7,678,069 ÷ 3 = 2,559,356.3333

If the quotient is a whole number, then 3 and 2,559,356.3333 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 7,678,069
-1 -7,678,069

Let's try dividing by 4:

7,678,069 ÷ 4 = 1,919,517.25

If the quotient is a whole number, then 4 and 1,919,517.25 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 7,678,069
-1 7,678,069
Keep dividing by the next highest number until you cannot divide anymore.

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

17291092033477632,4293,16110,06322,12737,82370,441264,7611,096,8677,678,069
-1-7-29-109-203-347-763-2,429-3,161-10,063-22,127-37,823-70,441-264,761-1,096,867-7,678,069

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,678,069:


Ask a Question