Q: What are the factor combinations of the number 14,250,731?

 A:
Positive:   1 x 1425073111 x 129552123 x 61959731 x 45970179 x 180389253 x 56327341 x 41791529 x 26939713 x 19987869 x 163991817 x 78432449 x 5819
Negative: -1 x -14250731-11 x -1295521-23 x -619597-31 x -459701-79 x -180389-253 x -56327-341 x -41791-529 x -26939-713 x -19987-869 x -16399-1817 x -7843-2449 x -5819


How do I find the factor combinations of the number 14,250,731?

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 14,250,731, 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 14,250,731
-1 -14,250,731

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 14,250,731.

Example:
1 x 14,250,731 = 14,250,731
and
-1 x -14,250,731 = 14,250,731
Notice both answers equal 14,250,731

With that explanation out of the way, let's continue. Next, we take the number 14,250,731 and divide it by 2:

14,250,731 ÷ 2 = 7,125,365.5

If the quotient is a whole number, then 2 and 7,125,365.5 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 14,250,731
-1 -14,250,731

Now, we try dividing 14,250,731 by 3:

14,250,731 ÷ 3 = 4,750,243.6667

If the quotient is a whole number, then 3 and 4,750,243.6667 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 14,250,731
-1 -14,250,731

Let's try dividing by 4:

14,250,731 ÷ 4 = 3,562,682.75

If the quotient is a whole number, then 4 and 3,562,682.75 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 14,250,731
-1 14,250,731
Keep dividing by the next highest number until you cannot divide anymore.

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

1112331792533415297138691,8172,4495,8197,84316,39919,98726,93941,79156,327180,389459,701619,5971,295,52114,250,731
-1-11-23-31-79-253-341-529-713-869-1,817-2,449-5,819-7,843-16,399-19,987-26,939-41,791-56,327-180,389-459,701-619,597-1,295,521-14,250,731

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