Q: What are the factor combinations of the number 31,440,451?

 A:
Positive:   1 x 314404517 x 449149359 x 532889269 x 116879283 x 111097413 x 761271883 x 166971981 x 15871
Negative: -1 x -31440451-7 x -4491493-59 x -532889-269 x -116879-283 x -111097-413 x -76127-1883 x -16697-1981 x -15871


How do I find the factor combinations of the number 31,440,451?

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 31,440,451, 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 31,440,451
-1 -31,440,451

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 31,440,451.

Example:
1 x 31,440,451 = 31,440,451
and
-1 x -31,440,451 = 31,440,451
Notice both answers equal 31,440,451

With that explanation out of the way, let's continue. Next, we take the number 31,440,451 and divide it by 2:

31,440,451 ÷ 2 = 15,720,225.5

If the quotient is a whole number, then 2 and 15,720,225.5 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 31,440,451
-1 -31,440,451

Now, we try dividing 31,440,451 by 3:

31,440,451 ÷ 3 = 10,480,150.3333

If the quotient is a whole number, then 3 and 10,480,150.3333 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 31,440,451
-1 -31,440,451

Let's try dividing by 4:

31,440,451 ÷ 4 = 7,860,112.75

If the quotient is a whole number, then 4 and 7,860,112.75 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 31,440,451
-1 31,440,451
Keep dividing by the next highest number until you cannot divide anymore.

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

17592692834131,8831,98115,87116,69776,127111,097116,879532,8894,491,49331,440,451
-1-7-59-269-283-413-1,883-1,981-15,871-16,697-76,127-111,097-116,879-532,889-4,491,493-31,440,451

More Examples

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