Q: What are the factor combinations of the number 248,767,477?

 A:
Positive:   1 x 2487674777 x 3553821117 x 14633381119 x 2090483137 x 1815821959 x 2594032329 x 10681315259 x 16303
Negative: -1 x -248767477-7 x -35538211-17 x -14633381-119 x -2090483-137 x -1815821-959 x -259403-2329 x -106813-15259 x -16303


How do I find the factor combinations of the number 248,767,477?

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 248,767,477, 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.

1 248,767,477
-1 -248,767,477

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 248,767,477.

Example:
1 x 248,767,477 = 248,767,477
and
-1 x -248,767,477 = 248,767,477
Notice both answers equal 248,767,477

With that explanation out of the way, let's continue. Next, we take the number 248,767,477 and divide it by 2:

248,767,477 ÷ 2 = 124,383,738.5

If the quotient is a whole number, then 2 and 124,383,738.5 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:

1 248,767,477
-1 -248,767,477

Now, we try dividing 248,767,477 by 3:

248,767,477 ÷ 3 = 82,922,492.3333

If the quotient is a whole number, then 3 and 82,922,492.3333 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:

1 248,767,477
-1 -248,767,477

Let's try dividing by 4:

248,767,477 ÷ 4 = 62,191,869.25

If the quotient is a whole number, then 4 and 62,191,869.25 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:

1 248,767,477
-1 248,767,477
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191379592,32915,25916,303106,813259,4031,815,8212,090,48314,633,38135,538,211248,767,477
-1-7-17-119-137-959-2,329-15,259-16,303-106,813-259,403-1,815,821-2,090,483-14,633,381-35,538,211-248,767,477

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