Q: What are the factor combinations of the number 14,737,645?

 A:
Positive:   1 x 147376455 x 294752913 x 113366565 x 226733107 x 137735163 x 90415169 x 87205535 x 27547815 x 18083845 x 174411391 x 105952119 x 6955
Negative: -1 x -14737645-5 x -2947529-13 x -1133665-65 x -226733-107 x -137735-163 x -90415-169 x -87205-535 x -27547-815 x -18083-845 x -17441-1391 x -10595-2119 x -6955


How do I find the factor combinations of the number 14,737,645?

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 14,737,645, 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 14,737,645
-1 -14,737,645

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 14,737,645.

Example:
1 x 14,737,645 = 14,737,645
and
-1 x -14,737,645 = 14,737,645
Notice both answers equal 14,737,645

With that explanation out of the way, let's continue. Next, we take the number 14,737,645 and divide it by 2:

14,737,645 ÷ 2 = 7,368,822.5

If the quotient is a whole number, then 2 and 7,368,822.5 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 14,737,645
-1 -14,737,645

Now, we try dividing 14,737,645 by 3:

14,737,645 ÷ 3 = 4,912,548.3333

If the quotient is a whole number, then 3 and 4,912,548.3333 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 14,737,645
-1 -14,737,645

Let's try dividing by 4:

14,737,645 ÷ 4 = 3,684,411.25

If the quotient is a whole number, then 4 and 3,684,411.25 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 14,737,645
-1 14,737,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651071631695358158451,3912,1196,95510,59517,44118,08327,54787,20590,415137,735226,7331,133,6652,947,52914,737,645
-1-5-13-65-107-163-169-535-815-845-1,391-2,119-6,955-10,595-17,441-18,083-27,547-87,205-90,415-137,735-226,733-1,133,665-2,947,529-14,737,645

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