Q: What are the factor combinations of the number 14,949,415?

 A:
Positive:   1 x 149494155 x 298988313 x 114995565 x 229991349 x 42835659 x 226851745 x 85673295 x 4537
Negative: -1 x -14949415-5 x -2989883-13 x -1149955-65 x -229991-349 x -42835-659 x -22685-1745 x -8567-3295 x -4537


How do I find the factor combinations of the number 14,949,415?

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 14,949,415, 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 14,949,415
-1 -14,949,415

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 14,949,415.

Example:
1 x 14,949,415 = 14,949,415
and
-1 x -14,949,415 = 14,949,415
Notice both answers equal 14,949,415

With that explanation out of the way, let's continue. Next, we take the number 14,949,415 and divide it by 2:

14,949,415 ÷ 2 = 7,474,707.5

If the quotient is a whole number, then 2 and 7,474,707.5 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 14,949,415
-1 -14,949,415

Now, we try dividing 14,949,415 by 3:

14,949,415 ÷ 3 = 4,983,138.3333

If the quotient is a whole number, then 3 and 4,983,138.3333 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 14,949,415
-1 -14,949,415

Let's try dividing by 4:

14,949,415 ÷ 4 = 3,737,353.75

If the quotient is a whole number, then 4 and 3,737,353.75 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 14,949,415
-1 14,949,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653496591,7453,2954,5378,56722,68542,835229,9911,149,9552,989,88314,949,415
-1-5-13-65-349-659-1,745-3,295-4,537-8,567-22,685-42,835-229,991-1,149,955-2,989,883-14,949,415

More Examples

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