Q: What are the factor combinations of the number 7,707,359?

 A:
Positive:   1 x 770735911 x 70066929 x 26577137 x 208307319 x 24161407 x 18937653 x 118031073 x 7183
Negative: -1 x -7707359-11 x -700669-29 x -265771-37 x -208307-319 x -24161-407 x -18937-653 x -11803-1073 x -7183


How do I find the factor combinations of the number 7,707,359?

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 7,707,359, 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 7,707,359
-1 -7,707,359

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 7,707,359.

Example:
1 x 7,707,359 = 7,707,359
and
-1 x -7,707,359 = 7,707,359
Notice both answers equal 7,707,359

With that explanation out of the way, let's continue. Next, we take the number 7,707,359 and divide it by 2:

7,707,359 ÷ 2 = 3,853,679.5

If the quotient is a whole number, then 2 and 3,853,679.5 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 7,707,359
-1 -7,707,359

Now, we try dividing 7,707,359 by 3:

7,707,359 ÷ 3 = 2,569,119.6667

If the quotient is a whole number, then 3 and 2,569,119.6667 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 7,707,359
-1 -7,707,359

Let's try dividing by 4:

7,707,359 ÷ 4 = 1,926,839.75

If the quotient is a whole number, then 4 and 1,926,839.75 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 7,707,359
-1 7,707,359
Keep dividing by the next highest number until you cannot divide anymore.

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

11129373194076531,0737,18311,80318,93724,161208,307265,771700,6697,707,359
-1-11-29-37-319-407-653-1,073-7,183-11,803-18,937-24,161-208,307-265,771-700,669-7,707,359

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,707,359:


Ask a Question