Q: What are the factor combinations of the number 478,147,747?

 A:
Positive:   1 x 4781477477 x 6830682111 x 4346797777 x 6209711859 x 5566336013 x 795197229 x 661439449 x 50603
Negative: -1 x -478147747-7 x -68306821-11 x -43467977-77 x -6209711-859 x -556633-6013 x -79519-7229 x -66143-9449 x -50603


How do I find the factor combinations of the number 478,147,747?

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 478,147,747, 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.

1 478,147,747
-1 -478,147,747

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 478,147,747.

Example:
1 x 478,147,747 = 478,147,747
and
-1 x -478,147,747 = 478,147,747
Notice both answers equal 478,147,747

With that explanation out of the way, let's continue. Next, we take the number 478,147,747 and divide it by 2:

478,147,747 ÷ 2 = 239,073,873.5

If the quotient is a whole number, then 2 and 239,073,873.5 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:

1 478,147,747
-1 -478,147,747

Now, we try dividing 478,147,747 by 3:

478,147,747 ÷ 3 = 159,382,582.3333

If the quotient is a whole number, then 3 and 159,382,582.3333 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:

1 478,147,747
-1 -478,147,747

Let's try dividing by 4:

478,147,747 ÷ 4 = 119,536,936.75

If the quotient is a whole number, then 4 and 119,536,936.75 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:

1 478,147,747
-1 478,147,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1711778596,0137,2299,44950,60366,14379,519556,6336,209,71143,467,97768,306,821478,147,747
-1-7-11-77-859-6,013-7,229-9,449-50,603-66,143-79,519-556,633-6,209,711-43,467,977-68,306,821-478,147,747

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 478,147,747:


Ask a Question