Q: What are the factor combinations of the number 31,800,835?

 A:
Positive:   1 x 318008355 x 636016711 x 289098523 x 138264555 x 578197115 x 276529253 x 125695529 x 601151093 x 290951265 x 251392645 x 120235465 x 5819
Negative: -1 x -31800835-5 x -6360167-11 x -2890985-23 x -1382645-55 x -578197-115 x -276529-253 x -125695-529 x -60115-1093 x -29095-1265 x -25139-2645 x -12023-5465 x -5819


How do I find the factor combinations of the number 31,800,835?

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 31,800,835, 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 31,800,835
-1 -31,800,835

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 31,800,835.

Example:
1 x 31,800,835 = 31,800,835
and
-1 x -31,800,835 = 31,800,835
Notice both answers equal 31,800,835

With that explanation out of the way, let's continue. Next, we take the number 31,800,835 and divide it by 2:

31,800,835 ÷ 2 = 15,900,417.5

If the quotient is a whole number, then 2 and 15,900,417.5 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 31,800,835
-1 -31,800,835

Now, we try dividing 31,800,835 by 3:

31,800,835 ÷ 3 = 10,600,278.3333

If the quotient is a whole number, then 3 and 10,600,278.3333 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 31,800,835
-1 -31,800,835

Let's try dividing by 4:

31,800,835 ÷ 4 = 7,950,208.75

If the quotient is a whole number, then 4 and 7,950,208.75 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 31,800,835
-1 31,800,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152535291,0931,2652,6455,4655,81912,02325,13929,09560,115125,695276,529578,1971,382,6452,890,9856,360,16731,800,835
-1-5-11-23-55-115-253-529-1,093-1,265-2,645-5,465-5,819-12,023-25,139-29,095-60,115-125,695-276,529-578,197-1,382,645-2,890,985-6,360,167-31,800,835

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