Q: What are the factor combinations of the number 31,037,155?

 A:
Positive:   1 x 310371555 x 620743117 x 182571547 x 66036585 x 365143235 x 132073289 x 107395457 x 67915799 x 388451445 x 214792285 x 135833995 x 7769
Negative: -1 x -31037155-5 x -6207431-17 x -1825715-47 x -660365-85 x -365143-235 x -132073-289 x -107395-457 x -67915-799 x -38845-1445 x -21479-2285 x -13583-3995 x -7769


How do I find the factor combinations of the number 31,037,155?

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 31,037,155, 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 31,037,155
-1 -31,037,155

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 31,037,155.

Example:
1 x 31,037,155 = 31,037,155
and
-1 x -31,037,155 = 31,037,155
Notice both answers equal 31,037,155

With that explanation out of the way, let's continue. Next, we take the number 31,037,155 and divide it by 2:

31,037,155 ÷ 2 = 15,518,577.5

If the quotient is a whole number, then 2 and 15,518,577.5 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 31,037,155
-1 -31,037,155

Now, we try dividing 31,037,155 by 3:

31,037,155 ÷ 3 = 10,345,718.3333

If the quotient is a whole number, then 3 and 10,345,718.3333 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 31,037,155
-1 -31,037,155

Let's try dividing by 4:

31,037,155 ÷ 4 = 7,759,288.75

If the quotient is a whole number, then 4 and 7,759,288.75 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 31,037,155
-1 31,037,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852352894577991,4452,2853,9957,76913,58321,47938,84567,915107,395132,073365,143660,3651,825,7156,207,43131,037,155
-1-5-17-47-85-235-289-457-799-1,445-2,285-3,995-7,769-13,583-21,479-38,845-67,915-107,395-132,073-365,143-660,365-1,825,715-6,207,431-31,037,155

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