Q: What are the factor combinations of the number 144,113,123?

 A:
Positive:   1 x 1441131237 x 2058758911 x 1310119377 x 1871599127 x 1134749889 x 1621071397 x 1031599779 x 14737
Negative: -1 x -144113123-7 x -20587589-11 x -13101193-77 x -1871599-127 x -1134749-889 x -162107-1397 x -103159-9779 x -14737


How do I find the factor combinations of the number 144,113,123?

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 144,113,123, 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.

1 144,113,123
-1 -144,113,123

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 144,113,123.

Example:
1 x 144,113,123 = 144,113,123
and
-1 x -144,113,123 = 144,113,123
Notice both answers equal 144,113,123

With that explanation out of the way, let's continue. Next, we take the number 144,113,123 and divide it by 2:

144,113,123 ÷ 2 = 72,056,561.5

If the quotient is a whole number, then 2 and 72,056,561.5 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:

1 144,113,123
-1 -144,113,123

Now, we try dividing 144,113,123 by 3:

144,113,123 ÷ 3 = 48,037,707.6667

If the quotient is a whole number, then 3 and 48,037,707.6667 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:

1 144,113,123
-1 -144,113,123

Let's try dividing by 4:

144,113,123 ÷ 4 = 36,028,280.75

If the quotient is a whole number, then 4 and 36,028,280.75 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:

1 144,113,123
-1 144,113,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771278891,3979,77914,737103,159162,1071,134,7491,871,59913,101,19320,587,589144,113,123
-1-7-11-77-127-889-1,397-9,779-14,737-103,159-162,107-1,134,749-1,871,599-13,101,193-20,587,589-144,113,123

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