Q: What are the factor combinations of the number 144,424,205?

 A:
Positive:   1 x 1444242055 x 2888484129 x 498014553 x 2724985145 x 996029265 x 5449971537 x 939657685 x 18793
Negative: -1 x -144424205-5 x -28884841-29 x -4980145-53 x -2724985-145 x -996029-265 x -544997-1537 x -93965-7685 x -18793


How do I find the factor combinations of the number 144,424,205?

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 144,424,205, 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.

1 144,424,205
-1 -144,424,205

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 144,424,205.

Example:
1 x 144,424,205 = 144,424,205
and
-1 x -144,424,205 = 144,424,205
Notice both answers equal 144,424,205

With that explanation out of the way, let's continue. Next, we take the number 144,424,205 and divide it by 2:

144,424,205 ÷ 2 = 72,212,102.5

If the quotient is a whole number, then 2 and 72,212,102.5 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:

1 144,424,205
-1 -144,424,205

Now, we try dividing 144,424,205 by 3:

144,424,205 ÷ 3 = 48,141,401.6667

If the quotient is a whole number, then 3 and 48,141,401.6667 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:

1 144,424,205
-1 -144,424,205

Let's try dividing by 4:

144,424,205 ÷ 4 = 36,106,051.25

If the quotient is a whole number, then 4 and 36,106,051.25 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:

1 144,424,205
-1 144,424,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531452651,5377,68518,79393,965544,997996,0292,724,9854,980,14528,884,841144,424,205
-1-5-29-53-145-265-1,537-7,685-18,793-93,965-544,997-996,029-2,724,985-4,980,145-28,884,841-144,424,205

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