Q: What are the factor combinations of the number 75,743,675?

 A:
Positive:   1 x 757436755 x 151487357 x 1082052525 x 302974735 x 2164105175 x 432821269 x 2815751345 x 563151609 x 470751883 x 402256725 x 112638045 x 9415
Negative: -1 x -75743675-5 x -15148735-7 x -10820525-25 x -3029747-35 x -2164105-175 x -432821-269 x -281575-1345 x -56315-1609 x -47075-1883 x -40225-6725 x -11263-8045 x -9415


How do I find the factor combinations of the number 75,743,675?

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 75,743,675, 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 75,743,675
-1 -75,743,675

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 75,743,675.

Example:
1 x 75,743,675 = 75,743,675
and
-1 x -75,743,675 = 75,743,675
Notice both answers equal 75,743,675

With that explanation out of the way, let's continue. Next, we take the number 75,743,675 and divide it by 2:

75,743,675 ÷ 2 = 37,871,837.5

If the quotient is a whole number, then 2 and 37,871,837.5 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 75,743,675
-1 -75,743,675

Now, we try dividing 75,743,675 by 3:

75,743,675 ÷ 3 = 25,247,891.6667

If the quotient is a whole number, then 3 and 25,247,891.6667 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 75,743,675
-1 -75,743,675

Let's try dividing by 4:

75,743,675 ÷ 4 = 18,935,918.75

If the quotient is a whole number, then 4 and 18,935,918.75 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 75,743,675
-1 75,743,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752691,3451,6091,8836,7258,0459,41511,26340,22547,07556,315281,575432,8212,164,1053,029,74710,820,52515,148,73575,743,675
-1-5-7-25-35-175-269-1,345-1,609-1,883-6,725-8,045-9,415-11,263-40,225-47,075-56,315-281,575-432,821-2,164,105-3,029,747-10,820,525-15,148,735-75,743,675

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