Q: What are the factor combinations of the number 133,143,241?

 A:
Positive:   1 x 1331432417 x 1902046311 x 1210393119 x 700753949 x 271720977 x 1729133133 x 1001077209 x 637049539 x 247019931 x 1430111463 x 9100710241 x 13001
Negative: -1 x -133143241-7 x -19020463-11 x -12103931-19 x -7007539-49 x -2717209-77 x -1729133-133 x -1001077-209 x -637049-539 x -247019-931 x -143011-1463 x -91007-10241 x -13001


How do I find the factor combinations of the number 133,143,241?

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 133,143,241, 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.

1 133,143,241
-1 -133,143,241

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 133,143,241.

Example:
1 x 133,143,241 = 133,143,241
and
-1 x -133,143,241 = 133,143,241
Notice both answers equal 133,143,241

With that explanation out of the way, let's continue. Next, we take the number 133,143,241 and divide it by 2:

133,143,241 ÷ 2 = 66,571,620.5

If the quotient is a whole number, then 2 and 66,571,620.5 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:

1 133,143,241
-1 -133,143,241

Now, we try dividing 133,143,241 by 3:

133,143,241 ÷ 3 = 44,381,080.3333

If the quotient is a whole number, then 3 and 44,381,080.3333 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:

1 133,143,241
-1 -133,143,241

Let's try dividing by 4:

133,143,241 ÷ 4 = 33,285,810.25

If the quotient is a whole number, then 4 and 33,285,810.25 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:

1 133,143,241
-1 133,143,241
Keep dividing by the next highest number until you cannot divide anymore.

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

17111949771332095399311,46310,24113,00191,007143,011247,019637,0491,001,0771,729,1332,717,2097,007,53912,103,93119,020,463133,143,241
-1-7-11-19-49-77-133-209-539-931-1,463-10,241-13,001-91,007-143,011-247,019-637,049-1,001,077-1,729,133-2,717,209-7,007,539-12,103,931-19,020,463-133,143,241

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