Q: What are the factor combinations of the number 28,731,131?

 A:
Positive:   1 x 2873113111 x 261192113 x 2210087143 x 200917331 x 86801607 x 473333641 x 78914303 x 6677
Negative: -1 x -28731131-11 x -2611921-13 x -2210087-143 x -200917-331 x -86801-607 x -47333-3641 x -7891-4303 x -6677


How do I find the factor combinations of the number 28,731,131?

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 28,731,131, 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 28,731,131
-1 -28,731,131

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 28,731,131.

Example:
1 x 28,731,131 = 28,731,131
and
-1 x -28,731,131 = 28,731,131
Notice both answers equal 28,731,131

With that explanation out of the way, let's continue. Next, we take the number 28,731,131 and divide it by 2:

28,731,131 ÷ 2 = 14,365,565.5

If the quotient is a whole number, then 2 and 14,365,565.5 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 28,731,131
-1 -28,731,131

Now, we try dividing 28,731,131 by 3:

28,731,131 ÷ 3 = 9,577,043.6667

If the quotient is a whole number, then 3 and 9,577,043.6667 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 28,731,131
-1 -28,731,131

Let's try dividing by 4:

28,731,131 ÷ 4 = 7,182,782.75

If the quotient is a whole number, then 4 and 7,182,782.75 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 28,731,131
-1 28,731,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433316073,6414,3036,6777,89147,33386,801200,9172,210,0872,611,92128,731,131
-1-11-13-143-331-607-3,641-4,303-6,677-7,891-47,333-86,801-200,917-2,210,087-2,611,921-28,731,131

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