Q: What are the factor combinations of the number 75,235,825?

 A:
Positive:   1 x 752358255 x 150471657 x 1074797525 x 300943335 x 214959549 x 1535425175 x 429919245 x 3070851225 x 61417
Negative: -1 x -75235825-5 x -15047165-7 x -10747975-25 x -3009433-35 x -2149595-49 x -1535425-175 x -429919-245 x -307085-1225 x -61417


How do I find the factor combinations of the number 75,235,825?

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 75,235,825, 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 75,235,825
-1 -75,235,825

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 75,235,825.

Example:
1 x 75,235,825 = 75,235,825
and
-1 x -75,235,825 = 75,235,825
Notice both answers equal 75,235,825

With that explanation out of the way, let's continue. Next, we take the number 75,235,825 and divide it by 2:

75,235,825 ÷ 2 = 37,617,912.5

If the quotient is a whole number, then 2 and 37,617,912.5 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 75,235,825
-1 -75,235,825

Now, we try dividing 75,235,825 by 3:

75,235,825 ÷ 3 = 25,078,608.3333

If the quotient is a whole number, then 3 and 25,078,608.3333 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 75,235,825
-1 -75,235,825

Let's try dividing by 4:

75,235,825 ÷ 4 = 18,808,956.25

If the quotient is a whole number, then 4 and 18,808,956.25 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 75,235,825
-1 75,235,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22561,417307,085429,9191,535,4252,149,5953,009,43310,747,97515,047,16575,235,825
-1-5-7-25-35-49-175-245-1,225-61,417-307,085-429,919-1,535,425-2,149,595-3,009,433-10,747,975-15,047,165-75,235,825

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