Q: What are the factor combinations of the number 135,325,543?

 A:
Positive:   1 x 13532554319 x 712239741 x 3300623223 x 606841361 x 374863779 x 1737171681 x 805034237 x 319399143 x 14801
Negative: -1 x -135325543-19 x -7122397-41 x -3300623-223 x -606841-361 x -374863-779 x -173717-1681 x -80503-4237 x -31939-9143 x -14801


How do I find the factor combinations of the number 135,325,543?

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 135,325,543, 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.

1 135,325,543
-1 -135,325,543

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 135,325,543.

Example:
1 x 135,325,543 = 135,325,543
and
-1 x -135,325,543 = 135,325,543
Notice both answers equal 135,325,543

With that explanation out of the way, let's continue. Next, we take the number 135,325,543 and divide it by 2:

135,325,543 ÷ 2 = 67,662,771.5

If the quotient is a whole number, then 2 and 67,662,771.5 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:

1 135,325,543
-1 -135,325,543

Now, we try dividing 135,325,543 by 3:

135,325,543 ÷ 3 = 45,108,514.3333

If the quotient is a whole number, then 3 and 45,108,514.3333 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:

1 135,325,543
-1 -135,325,543

Let's try dividing by 4:

135,325,543 ÷ 4 = 33,831,385.75

If the quotient is a whole number, then 4 and 33,831,385.75 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:

1 135,325,543
-1 135,325,543
Keep dividing by the next highest number until you cannot divide anymore.

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

119412233617791,6814,2379,14314,80131,93980,503173,717374,863606,8413,300,6237,122,397135,325,543
-1-19-41-223-361-779-1,681-4,237-9,143-14,801-31,939-80,503-173,717-374,863-606,841-3,300,623-7,122,397-135,325,543

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