Q: What are the factor combinations of the number 307,717,753?

 A:
Positive:   1 x 3077177537 x 4395967929 x 10610957103 x 2987551203 x 1515851721 x 4267932987 x 10301914717 x 20909
Negative: -1 x -307717753-7 x -43959679-29 x -10610957-103 x -2987551-203 x -1515851-721 x -426793-2987 x -103019-14717 x -20909


How do I find the factor combinations of the number 307,717,753?

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 307,717,753, 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.

1 307,717,753
-1 -307,717,753

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 307,717,753.

Example:
1 x 307,717,753 = 307,717,753
and
-1 x -307,717,753 = 307,717,753
Notice both answers equal 307,717,753

With that explanation out of the way, let's continue. Next, we take the number 307,717,753 and divide it by 2:

307,717,753 ÷ 2 = 153,858,876.5

If the quotient is a whole number, then 2 and 153,858,876.5 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:

1 307,717,753
-1 -307,717,753

Now, we try dividing 307,717,753 by 3:

307,717,753 ÷ 3 = 102,572,584.3333

If the quotient is a whole number, then 3 and 102,572,584.3333 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:

1 307,717,753
-1 -307,717,753

Let's try dividing by 4:

307,717,753 ÷ 4 = 76,929,438.25

If the quotient is a whole number, then 4 and 76,929,438.25 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:

1 307,717,753
-1 307,717,753
Keep dividing by the next highest number until you cannot divide anymore.

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

17291032037212,98714,71720,909103,019426,7931,515,8512,987,55110,610,95743,959,679307,717,753
-1-7-29-103-203-721-2,987-14,717-20,909-103,019-426,793-1,515,851-2,987,551-10,610,957-43,959,679-307,717,753

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 307,717,753:


Ask a Question