Q: What are the factor combinations of the number 14,002,475?

 A:
Positive:   1 x 140024755 x 280049517 x 82367525 x 56009947 x 29792585 x 164735235 x 59585425 x 32947701 x 19975799 x 175251175 x 119173505 x 3995
Negative: -1 x -14002475-5 x -2800495-17 x -823675-25 x -560099-47 x -297925-85 x -164735-235 x -59585-425 x -32947-701 x -19975-799 x -17525-1175 x -11917-3505 x -3995


How do I find the factor combinations of the number 14,002,475?

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 14,002,475, 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 14,002,475
-1 -14,002,475

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 14,002,475.

Example:
1 x 14,002,475 = 14,002,475
and
-1 x -14,002,475 = 14,002,475
Notice both answers equal 14,002,475

With that explanation out of the way, let's continue. Next, we take the number 14,002,475 and divide it by 2:

14,002,475 ÷ 2 = 7,001,237.5

If the quotient is a whole number, then 2 and 7,001,237.5 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 14,002,475
-1 -14,002,475

Now, we try dividing 14,002,475 by 3:

14,002,475 ÷ 3 = 4,667,491.6667

If the quotient is a whole number, then 3 and 4,667,491.6667 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 14,002,475
-1 -14,002,475

Let's try dividing by 4:

14,002,475 ÷ 4 = 3,500,618.75

If the quotient is a whole number, then 4 and 3,500,618.75 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 14,002,475
-1 14,002,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15172547852354257017991,1753,5053,99511,91717,52519,97532,94759,585164,735297,925560,099823,6752,800,49514,002,475
-1-5-17-25-47-85-235-425-701-799-1,175-3,505-3,995-11,917-17,525-19,975-32,947-59,585-164,735-297,925-560,099-823,675-2,800,495-14,002,475

More Examples

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