Q: What are the factor combinations of the number 47,780,999?

 A:
Positive:   1 x 477809997 x 682585717 x 281064747 x 1016617119 x 401521329 x 145231799 x 598015593 x 8543
Negative: -1 x -47780999-7 x -6825857-17 x -2810647-47 x -1016617-119 x -401521-329 x -145231-799 x -59801-5593 x -8543


How do I find the factor combinations of the number 47,780,999?

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 47,780,999, 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 47,780,999
-1 -47,780,999

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 47,780,999.

Example:
1 x 47,780,999 = 47,780,999
and
-1 x -47,780,999 = 47,780,999
Notice both answers equal 47,780,999

With that explanation out of the way, let's continue. Next, we take the number 47,780,999 and divide it by 2:

47,780,999 ÷ 2 = 23,890,499.5

If the quotient is a whole number, then 2 and 23,890,499.5 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 47,780,999
-1 -47,780,999

Now, we try dividing 47,780,999 by 3:

47,780,999 ÷ 3 = 15,926,999.6667

If the quotient is a whole number, then 3 and 15,926,999.6667 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 47,780,999
-1 -47,780,999

Let's try dividing by 4:

47,780,999 ÷ 4 = 11,945,249.75

If the quotient is a whole number, then 4 and 11,945,249.75 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 47,780,999
-1 47,780,999
Keep dividing by the next highest number until you cannot divide anymore.

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

1717471193297995,5938,54359,801145,231401,5211,016,6172,810,6476,825,85747,780,999
-1-7-17-47-119-329-799-5,593-8,543-59,801-145,231-401,521-1,016,617-2,810,647-6,825,857-47,780,999

More Examples

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