Q: What are the factor combinations of the number 45,717,311?

 A:
Positive:   1 x 4571731129 x 157645937 x 1235603137 x 333703311 x 1470011073 x 426073973 x 115075069 x 9019
Negative: -1 x -45717311-29 x -1576459-37 x -1235603-137 x -333703-311 x -147001-1073 x -42607-3973 x -11507-5069 x -9019


How do I find the factor combinations of the number 45,717,311?

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 45,717,311, 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 45,717,311
-1 -45,717,311

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 45,717,311.

Example:
1 x 45,717,311 = 45,717,311
and
-1 x -45,717,311 = 45,717,311
Notice both answers equal 45,717,311

With that explanation out of the way, let's continue. Next, we take the number 45,717,311 and divide it by 2:

45,717,311 ÷ 2 = 22,858,655.5

If the quotient is a whole number, then 2 and 22,858,655.5 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 45,717,311
-1 -45,717,311

Now, we try dividing 45,717,311 by 3:

45,717,311 ÷ 3 = 15,239,103.6667

If the quotient is a whole number, then 3 and 15,239,103.6667 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 45,717,311
-1 -45,717,311

Let's try dividing by 4:

45,717,311 ÷ 4 = 11,429,327.75

If the quotient is a whole number, then 4 and 11,429,327.75 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 45,717,311
-1 45,717,311
Keep dividing by the next highest number until you cannot divide anymore.

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

129371373111,0733,9735,0699,01911,50742,607147,001333,7031,235,6031,576,45945,717,311
-1-29-37-137-311-1,073-3,973-5,069-9,019-11,507-42,607-147,001-333,703-1,235,603-1,576,459-45,717,311

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 45,717,311:


Ask a Question