Q: What are the factor combinations of the number 60,052,135?

 A:
Positive:   1 x 600521355 x 1201042711 x 545928513 x 461939547 x 127770555 x 109185765 x 923879143 x 419945235 x 255541517 x 116155611 x 98285715 x 839891787 x 336052585 x 232313055 x 196576721 x 8935
Negative: -1 x -60052135-5 x -12010427-11 x -5459285-13 x -4619395-47 x -1277705-55 x -1091857-65 x -923879-143 x -419945-235 x -255541-517 x -116155-611 x -98285-715 x -83989-1787 x -33605-2585 x -23231-3055 x -19657-6721 x -8935


How do I find the factor combinations of the number 60,052,135?

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 60,052,135, 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 60,052,135
-1 -60,052,135

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 60,052,135.

Example:
1 x 60,052,135 = 60,052,135
and
-1 x -60,052,135 = 60,052,135
Notice both answers equal 60,052,135

With that explanation out of the way, let's continue. Next, we take the number 60,052,135 and divide it by 2:

60,052,135 ÷ 2 = 30,026,067.5

If the quotient is a whole number, then 2 and 30,026,067.5 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 60,052,135
-1 -60,052,135

Now, we try dividing 60,052,135 by 3:

60,052,135 ÷ 3 = 20,017,378.3333

If the quotient is a whole number, then 3 and 20,017,378.3333 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 60,052,135
-1 -60,052,135

Let's try dividing by 4:

60,052,135 ÷ 4 = 15,013,033.75

If the quotient is a whole number, then 4 and 15,013,033.75 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 60,052,135
-1 60,052,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511134755651432355176117151,7872,5853,0556,7218,93519,65723,23133,60583,98998,285116,155255,541419,945923,8791,091,8571,277,7054,619,3955,459,28512,010,42760,052,135
-1-5-11-13-47-55-65-143-235-517-611-715-1,787-2,585-3,055-6,721-8,935-19,657-23,231-33,605-83,989-98,285-116,155-255,541-419,945-923,879-1,091,857-1,277,705-4,619,395-5,459,285-12,010,427-60,052,135

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