Q: What are the factor combinations of the number 144,505,241?

 A:
Positive:   1 x 14450524119 x 760553943 x 336058783 x 1741027817 x 1768731577 x 916332131 x 678113569 x 40489
Negative: -1 x -144505241-19 x -7605539-43 x -3360587-83 x -1741027-817 x -176873-1577 x -91633-2131 x -67811-3569 x -40489


How do I find the factor combinations of the number 144,505,241?

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 144,505,241, 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.

1 144,505,241
-1 -144,505,241

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 144,505,241.

Example:
1 x 144,505,241 = 144,505,241
and
-1 x -144,505,241 = 144,505,241
Notice both answers equal 144,505,241

With that explanation out of the way, let's continue. Next, we take the number 144,505,241 and divide it by 2:

144,505,241 ÷ 2 = 72,252,620.5

If the quotient is a whole number, then 2 and 72,252,620.5 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:

1 144,505,241
-1 -144,505,241

Now, we try dividing 144,505,241 by 3:

144,505,241 ÷ 3 = 48,168,413.6667

If the quotient is a whole number, then 3 and 48,168,413.6667 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:

1 144,505,241
-1 -144,505,241

Let's try dividing by 4:

144,505,241 ÷ 4 = 36,126,310.25

If the quotient is a whole number, then 4 and 36,126,310.25 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:

1 144,505,241
-1 144,505,241
Keep dividing by the next highest number until you cannot divide anymore.

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

11943838171,5772,1313,56940,48967,81191,633176,8731,741,0273,360,5877,605,539144,505,241
-1-19-43-83-817-1,577-2,131-3,569-40,489-67,811-91,633-176,873-1,741,027-3,360,587-7,605,539-144,505,241

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