Q: What are the factor combinations of the number 100,150,715?

 A:
Positive:   1 x 1001507155 x 200301437 x 1430724535 x 286144961 x 1641815305 x 328363427 x 234545769 x 1302352135 x 469093721 x 269153845 x 260475383 x 18605
Negative: -1 x -100150715-5 x -20030143-7 x -14307245-35 x -2861449-61 x -1641815-305 x -328363-427 x -234545-769 x -130235-2135 x -46909-3721 x -26915-3845 x -26047-5383 x -18605


How do I find the factor combinations of the number 100,150,715?

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 100,150,715, 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.

1 100,150,715
-1 -100,150,715

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 100,150,715.

Example:
1 x 100,150,715 = 100,150,715
and
-1 x -100,150,715 = 100,150,715
Notice both answers equal 100,150,715

With that explanation out of the way, let's continue. Next, we take the number 100,150,715 and divide it by 2:

100,150,715 ÷ 2 = 50,075,357.5

If the quotient is a whole number, then 2 and 50,075,357.5 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:

1 100,150,715
-1 -100,150,715

Now, we try dividing 100,150,715 by 3:

100,150,715 ÷ 3 = 33,383,571.6667

If the quotient is a whole number, then 3 and 33,383,571.6667 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:

1 100,150,715
-1 -100,150,715

Let's try dividing by 4:

100,150,715 ÷ 4 = 25,037,678.75

If the quotient is a whole number, then 4 and 25,037,678.75 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:

1 100,150,715
-1 100,150,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15735613054277692,1353,7213,8455,38318,60526,04726,91546,909130,235234,545328,3631,641,8152,861,44914,307,24520,030,143100,150,715
-1-5-7-35-61-305-427-769-2,135-3,721-3,845-5,383-18,605-26,047-26,915-46,909-130,235-234,545-328,363-1,641,815-2,861,449-14,307,245-20,030,143-100,150,715

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