Q: What are the factor combinations of the number 31,208,155?

 A:
Positive:   1 x 312081555 x 624163111 x 283710555 x 567421107 x 291665535 x 583331177 x 265155303 x 5885
Negative: -1 x -31208155-5 x -6241631-11 x -2837105-55 x -567421-107 x -291665-535 x -58333-1177 x -26515-5303 x -5885


How do I find the factor combinations of the number 31,208,155?

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 31,208,155, 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 31,208,155
-1 -31,208,155

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 31,208,155.

Example:
1 x 31,208,155 = 31,208,155
and
-1 x -31,208,155 = 31,208,155
Notice both answers equal 31,208,155

With that explanation out of the way, let's continue. Next, we take the number 31,208,155 and divide it by 2:

31,208,155 ÷ 2 = 15,604,077.5

If the quotient is a whole number, then 2 and 15,604,077.5 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 31,208,155
-1 -31,208,155

Now, we try dividing 31,208,155 by 3:

31,208,155 ÷ 3 = 10,402,718.3333

If the quotient is a whole number, then 3 and 10,402,718.3333 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 31,208,155
-1 -31,208,155

Let's try dividing by 4:

31,208,155 ÷ 4 = 7,802,038.75

If the quotient is a whole number, then 4 and 7,802,038.75 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 31,208,155
-1 31,208,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551075351,1775,3035,88526,51558,333291,665567,4212,837,1056,241,63131,208,155
-1-5-11-55-107-535-1,177-5,303-5,885-26,515-58,333-291,665-567,421-2,837,105-6,241,631-31,208,155

More Examples

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