Q: What are the factor combinations of the number 144,733,015?

 A:
Positive:   1 x 1447330155 x 289466037 x 2067614535 x 413522949 x 2953735107 x 1352645245 x 590747535 x 270529749 x 1932353745 x 386475243 x 276055521 x 26215
Negative: -1 x -144733015-5 x -28946603-7 x -20676145-35 x -4135229-49 x -2953735-107 x -1352645-245 x -590747-535 x -270529-749 x -193235-3745 x -38647-5243 x -27605-5521 x -26215


How do I find the factor combinations of the number 144,733,015?

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 144,733,015, 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.

1 144,733,015
-1 -144,733,015

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 144,733,015.

Example:
1 x 144,733,015 = 144,733,015
and
-1 x -144,733,015 = 144,733,015
Notice both answers equal 144,733,015

With that explanation out of the way, let's continue. Next, we take the number 144,733,015 and divide it by 2:

144,733,015 ÷ 2 = 72,366,507.5

If the quotient is a whole number, then 2 and 72,366,507.5 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:

1 144,733,015
-1 -144,733,015

Now, we try dividing 144,733,015 by 3:

144,733,015 ÷ 3 = 48,244,338.3333

If the quotient is a whole number, then 3 and 48,244,338.3333 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:

1 144,733,015
-1 -144,733,015

Let's try dividing by 4:

144,733,015 ÷ 4 = 36,183,253.75

If the quotient is a whole number, then 4 and 36,183,253.75 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:

1 144,733,015
-1 144,733,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491072455357493,7455,2435,52126,21527,60538,647193,235270,529590,7471,352,6452,953,7354,135,22920,676,14528,946,603144,733,015
-1-5-7-35-49-107-245-535-749-3,745-5,243-5,521-26,215-27,605-38,647-193,235-270,529-590,747-1,352,645-2,953,735-4,135,229-20,676,145-28,946,603-144,733,015

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