Q: What are the factor combinations of the number 47,977,915?

 A:
Positive:   1 x 479779155 x 959558359 x 813185103 x 465805295 x 162637515 x 931611579 x 303856077 x 7895
Negative: -1 x -47977915-5 x -9595583-59 x -813185-103 x -465805-295 x -162637-515 x -93161-1579 x -30385-6077 x -7895


How do I find the factor combinations of the number 47,977,915?

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 47,977,915, 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 47,977,915
-1 -47,977,915

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 47,977,915.

Example:
1 x 47,977,915 = 47,977,915
and
-1 x -47,977,915 = 47,977,915
Notice both answers equal 47,977,915

With that explanation out of the way, let's continue. Next, we take the number 47,977,915 and divide it by 2:

47,977,915 ÷ 2 = 23,988,957.5

If the quotient is a whole number, then 2 and 23,988,957.5 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 47,977,915
-1 -47,977,915

Now, we try dividing 47,977,915 by 3:

47,977,915 ÷ 3 = 15,992,638.3333

If the quotient is a whole number, then 3 and 15,992,638.3333 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 47,977,915
-1 -47,977,915

Let's try dividing by 4:

47,977,915 ÷ 4 = 11,994,478.75

If the quotient is a whole number, then 4 and 11,994,478.75 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 47,977,915
-1 47,977,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15591032955151,5796,0777,89530,38593,161162,637465,805813,1859,595,58347,977,915
-1-5-59-103-295-515-1,579-6,077-7,895-30,385-93,161-162,637-465,805-813,185-9,595,583-47,977,915

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,977,915:


Ask a Question