Q: What are the factor combinations of the number 100,477,675?

 A:
Positive:   1 x 1004776755 x 2009553525 x 401910741 x 245067561 x 1647175205 x 490135305 x 3294351025 x 980271525 x 658871607 x 625252501 x 401758035 x 12505
Negative: -1 x -100477675-5 x -20095535-25 x -4019107-41 x -2450675-61 x -1647175-205 x -490135-305 x -329435-1025 x -98027-1525 x -65887-1607 x -62525-2501 x -40175-8035 x -12505


How do I find the factor combinations of the number 100,477,675?

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 100,477,675, 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.

1 100,477,675
-1 -100,477,675

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 100,477,675.

Example:
1 x 100,477,675 = 100,477,675
and
-1 x -100,477,675 = 100,477,675
Notice both answers equal 100,477,675

With that explanation out of the way, let's continue. Next, we take the number 100,477,675 and divide it by 2:

100,477,675 ÷ 2 = 50,238,837.5

If the quotient is a whole number, then 2 and 50,238,837.5 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:

1 100,477,675
-1 -100,477,675

Now, we try dividing 100,477,675 by 3:

100,477,675 ÷ 3 = 33,492,558.3333

If the quotient is a whole number, then 3 and 33,492,558.3333 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:

1 100,477,675
-1 -100,477,675

Let's try dividing by 4:

100,477,675 ÷ 4 = 25,119,418.75

If the quotient is a whole number, then 4 and 25,119,418.75 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:

1 100,477,675
-1 100,477,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152541612053051,0251,5251,6072,5018,03512,50540,17562,52565,88798,027329,435490,1351,647,1752,450,6754,019,10720,095,535100,477,675
-1-5-25-41-61-205-305-1,025-1,525-1,607-2,501-8,035-12,505-40,175-62,525-65,887-98,027-329,435-490,135-1,647,175-2,450,675-4,019,107-20,095,535-100,477,675

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