Q: What are the factor combinations of the number 14,035,469?

 A:
Positive:   1 x 140354697 x 200506737 x 37933747 x 298627259 x 54191329 x 426611153 x 121731739 x 8071
Negative: -1 x -14035469-7 x -2005067-37 x -379337-47 x -298627-259 x -54191-329 x -42661-1153 x -12173-1739 x -8071


How do I find the factor combinations of the number 14,035,469?

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 14,035,469, 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 14,035,469
-1 -14,035,469

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 14,035,469.

Example:
1 x 14,035,469 = 14,035,469
and
-1 x -14,035,469 = 14,035,469
Notice both answers equal 14,035,469

With that explanation out of the way, let's continue. Next, we take the number 14,035,469 and divide it by 2:

14,035,469 ÷ 2 = 7,017,734.5

If the quotient is a whole number, then 2 and 7,017,734.5 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 14,035,469
-1 -14,035,469

Now, we try dividing 14,035,469 by 3:

14,035,469 ÷ 3 = 4,678,489.6667

If the quotient is a whole number, then 3 and 4,678,489.6667 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 14,035,469
-1 -14,035,469

Let's try dividing by 4:

14,035,469 ÷ 4 = 3,508,867.25

If the quotient is a whole number, then 4 and 3,508,867.25 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 14,035,469
-1 14,035,469
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593291,1531,7398,07112,17342,66154,191298,627379,3372,005,06714,035,469
-1-7-37-47-259-329-1,153-1,739-8,071-12,173-42,661-54,191-298,627-379,337-2,005,067-14,035,469

More Examples

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