Q: What are the factor combinations of the number 148,135,075?

 A:
Positive:   1 x 1481350755 x 2962701511 x 1346682525 x 592540355 x 2693365275 x 538673313 x 4732751565 x 946551721 x 860753443 x 430257825 x 189318605 x 17215
Negative: -1 x -148135075-5 x -29627015-11 x -13466825-25 x -5925403-55 x -2693365-275 x -538673-313 x -473275-1565 x -94655-1721 x -86075-3443 x -43025-7825 x -18931-8605 x -17215


How do I find the factor combinations of the number 148,135,075?

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 148,135,075, 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.

1 148,135,075
-1 -148,135,075

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 148,135,075.

Example:
1 x 148,135,075 = 148,135,075
and
-1 x -148,135,075 = 148,135,075
Notice both answers equal 148,135,075

With that explanation out of the way, let's continue. Next, we take the number 148,135,075 and divide it by 2:

148,135,075 ÷ 2 = 74,067,537.5

If the quotient is a whole number, then 2 and 74,067,537.5 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:

1 148,135,075
-1 -148,135,075

Now, we try dividing 148,135,075 by 3:

148,135,075 ÷ 3 = 49,378,358.3333

If the quotient is a whole number, then 3 and 49,378,358.3333 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:

1 148,135,075
-1 -148,135,075

Let's try dividing by 4:

148,135,075 ÷ 4 = 37,033,768.75

If the quotient is a whole number, then 4 and 37,033,768.75 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:

1 148,135,075
-1 148,135,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552753131,5651,7213,4437,8258,60517,21518,93143,02586,07594,655473,275538,6732,693,3655,925,40313,466,82529,627,015148,135,075
-1-5-11-25-55-275-313-1,565-1,721-3,443-7,825-8,605-17,215-18,931-43,025-86,075-94,655-473,275-538,673-2,693,365-5,925,403-13,466,825-29,627,015-148,135,075

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