Q: What are the factor combinations of the number 5,138,075?

 A:
Positive:   1 x 51380755 x 102761519 x 27042525 x 20552329 x 17717595 x 54085145 x 35435373 x 13775475 x 10817551 x 9325725 x 70871865 x 2755
Negative: -1 x -5138075-5 x -1027615-19 x -270425-25 x -205523-29 x -177175-95 x -54085-145 x -35435-373 x -13775-475 x -10817-551 x -9325-725 x -7087-1865 x -2755


How do I find the factor combinations of the number 5,138,075?

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 5,138,075, 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 5,138,075
-1 -5,138,075

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 5,138,075.

Example:
1 x 5,138,075 = 5,138,075
and
-1 x -5,138,075 = 5,138,075
Notice both answers equal 5,138,075

With that explanation out of the way, let's continue. Next, we take the number 5,138,075 and divide it by 2:

5,138,075 ÷ 2 = 2,569,037.5

If the quotient is a whole number, then 2 and 2,569,037.5 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 5,138,075
-1 -5,138,075

Now, we try dividing 5,138,075 by 3:

5,138,075 ÷ 3 = 1,712,691.6667

If the quotient is a whole number, then 3 and 1,712,691.6667 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 5,138,075
-1 -5,138,075

Let's try dividing by 4:

5,138,075 ÷ 4 = 1,284,518.75

If the quotient is a whole number, then 4 and 1,284,518.75 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 5,138,075
-1 5,138,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951453734755517251,8652,7557,0879,32510,81713,77535,43554,085177,175205,523270,4251,027,6155,138,075
-1-5-19-25-29-95-145-373-475-551-725-1,865-2,755-7,087-9,325-10,817-13,775-35,435-54,085-177,175-205,523-270,425-1,027,615-5,138,075

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