Q: What are the factor combinations of the number 38,740,075?

 A:
Positive:   1 x 387400755 x 774801511 x 352182525 x 154960355 x 704365179 x 216425275 x 140873787 x 49225895 x 432851969 x 196753935 x 98454475 x 8657
Negative: -1 x -38740075-5 x -7748015-11 x -3521825-25 x -1549603-55 x -704365-179 x -216425-275 x -140873-787 x -49225-895 x -43285-1969 x -19675-3935 x -9845-4475 x -8657


How do I find the factor combinations of the number 38,740,075?

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 38,740,075, 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 38,740,075
-1 -38,740,075

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 38,740,075.

Example:
1 x 38,740,075 = 38,740,075
and
-1 x -38,740,075 = 38,740,075
Notice both answers equal 38,740,075

With that explanation out of the way, let's continue. Next, we take the number 38,740,075 and divide it by 2:

38,740,075 ÷ 2 = 19,370,037.5

If the quotient is a whole number, then 2 and 19,370,037.5 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 38,740,075
-1 -38,740,075

Now, we try dividing 38,740,075 by 3:

38,740,075 ÷ 3 = 12,913,358.3333

If the quotient is a whole number, then 3 and 12,913,358.3333 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 38,740,075
-1 -38,740,075

Let's try dividing by 4:

38,740,075 ÷ 4 = 9,685,018.75

If the quotient is a whole number, then 4 and 9,685,018.75 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 38,740,075
-1 38,740,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551792757878951,9693,9354,4758,6579,84519,67543,28549,225140,873216,425704,3651,549,6033,521,8257,748,01538,740,075
-1-5-11-25-55-179-275-787-895-1,969-3,935-4,475-8,657-9,845-19,675-43,285-49,225-140,873-216,425-704,365-1,549,603-3,521,825-7,748,015-38,740,075

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