Q: What are the factor combinations of the number 31,038,805?

 A:
Positive:   1 x 310388055 x 62077617 x 443411535 x 88682349 x 633445151 x 205555245 x 126689755 x 41111839 x 369951057 x 293654195 x 73995285 x 5873
Negative: -1 x -31038805-5 x -6207761-7 x -4434115-35 x -886823-49 x -633445-151 x -205555-245 x -126689-755 x -41111-839 x -36995-1057 x -29365-4195 x -7399-5285 x -5873


How do I find the factor combinations of the number 31,038,805?

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 31,038,805, 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 31,038,805
-1 -31,038,805

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 31,038,805.

Example:
1 x 31,038,805 = 31,038,805
and
-1 x -31,038,805 = 31,038,805
Notice both answers equal 31,038,805

With that explanation out of the way, let's continue. Next, we take the number 31,038,805 and divide it by 2:

31,038,805 ÷ 2 = 15,519,402.5

If the quotient is a whole number, then 2 and 15,519,402.5 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 31,038,805
-1 -31,038,805

Now, we try dividing 31,038,805 by 3:

31,038,805 ÷ 3 = 10,346,268.3333

If the quotient is a whole number, then 3 and 10,346,268.3333 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 31,038,805
-1 -31,038,805

Let's try dividing by 4:

31,038,805 ÷ 4 = 7,759,701.25

If the quotient is a whole number, then 4 and 7,759,701.25 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 31,038,805
-1 31,038,805
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491512457558391,0574,1955,2855,8737,39929,36536,99541,111126,689205,555633,445886,8234,434,1156,207,76131,038,805
-1-5-7-35-49-151-245-755-839-1,057-4,195-5,285-5,873-7,399-29,365-36,995-41,111-126,689-205,555-633,445-886,823-4,434,115-6,207,761-31,038,805

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