Q: What are the factor combinations of the number 144,606,649?

 A:
Positive:   1 x 14460664911 x 1314605973 x 1980913101 x 1431749803 x 1800831111 x 1301591783 x 811037373 x 19613
Negative: -1 x -144606649-11 x -13146059-73 x -1980913-101 x -1431749-803 x -180083-1111 x -130159-1783 x -81103-7373 x -19613


How do I find the factor combinations of the number 144,606,649?

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 144,606,649, 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.

1 144,606,649
-1 -144,606,649

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 144,606,649.

Example:
1 x 144,606,649 = 144,606,649
and
-1 x -144,606,649 = 144,606,649
Notice both answers equal 144,606,649

With that explanation out of the way, let's continue. Next, we take the number 144,606,649 and divide it by 2:

144,606,649 ÷ 2 = 72,303,324.5

If the quotient is a whole number, then 2 and 72,303,324.5 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:

1 144,606,649
-1 -144,606,649

Now, we try dividing 144,606,649 by 3:

144,606,649 ÷ 3 = 48,202,216.3333

If the quotient is a whole number, then 3 and 48,202,216.3333 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:

1 144,606,649
-1 -144,606,649

Let's try dividing by 4:

144,606,649 ÷ 4 = 36,151,662.25

If the quotient is a whole number, then 4 and 36,151,662.25 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:

1 144,606,649
-1 144,606,649
Keep dividing by the next highest number until you cannot divide anymore.

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

111731018031,1111,7837,37319,61381,103130,159180,0831,431,7491,980,91313,146,059144,606,649
-1-11-73-101-803-1,111-1,783-7,373-19,613-81,103-130,159-180,083-1,431,749-1,980,913-13,146,059-144,606,649

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