Q: What are the factor combinations of the number 14,688,485?

 A:
Positive:   1 x 146884855 x 29376977 x 209835535 x 41967149 x 299765167 x 87955245 x 59953359 x 40915835 x 175911169 x 125651795 x 81832513 x 5845
Negative: -1 x -14688485-5 x -2937697-7 x -2098355-35 x -419671-49 x -299765-167 x -87955-245 x -59953-359 x -40915-835 x -17591-1169 x -12565-1795 x -8183-2513 x -5845


How do I find the factor combinations of the number 14,688,485?

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 14,688,485, 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 14,688,485
-1 -14,688,485

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 14,688,485.

Example:
1 x 14,688,485 = 14,688,485
and
-1 x -14,688,485 = 14,688,485
Notice both answers equal 14,688,485

With that explanation out of the way, let's continue. Next, we take the number 14,688,485 and divide it by 2:

14,688,485 ÷ 2 = 7,344,242.5

If the quotient is a whole number, then 2 and 7,344,242.5 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 14,688,485
-1 -14,688,485

Now, we try dividing 14,688,485 by 3:

14,688,485 ÷ 3 = 4,896,161.6667

If the quotient is a whole number, then 3 and 4,896,161.6667 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 14,688,485
-1 -14,688,485

Let's try dividing by 4:

14,688,485 ÷ 4 = 3,672,121.25

If the quotient is a whole number, then 4 and 3,672,121.25 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 14,688,485
-1 14,688,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491672453598351,1691,7952,5135,8458,18312,56517,59140,91559,95387,955299,765419,6712,098,3552,937,69714,688,485
-1-5-7-35-49-167-245-359-835-1,169-1,795-2,513-5,845-8,183-12,565-17,591-40,915-59,953-87,955-299,765-419,671-2,098,355-2,937,697-14,688,485

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