Q: What are the factor combinations of the number 14,314,349?

 A:
Positive:   1 x 143143497 x 204490723 x 62236367 x 213647161 x 88909469 x 305211327 x 107871541 x 9289
Negative: -1 x -14314349-7 x -2044907-23 x -622363-67 x -213647-161 x -88909-469 x -30521-1327 x -10787-1541 x -9289


How do I find the factor combinations of the number 14,314,349?

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 14,314,349, 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 14,314,349
-1 -14,314,349

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 14,314,349.

Example:
1 x 14,314,349 = 14,314,349
and
-1 x -14,314,349 = 14,314,349
Notice both answers equal 14,314,349

With that explanation out of the way, let's continue. Next, we take the number 14,314,349 and divide it by 2:

14,314,349 ÷ 2 = 7,157,174.5

If the quotient is a whole number, then 2 and 7,157,174.5 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 14,314,349
-1 -14,314,349

Now, we try dividing 14,314,349 by 3:

14,314,349 ÷ 3 = 4,771,449.6667

If the quotient is a whole number, then 3 and 4,771,449.6667 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 14,314,349
-1 -14,314,349

Let's try dividing by 4:

14,314,349 ÷ 4 = 3,578,587.25

If the quotient is a whole number, then 4 and 3,578,587.25 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 14,314,349
-1 14,314,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1723671614691,3271,5419,28910,78730,52188,909213,647622,3632,044,90714,314,349
-1-7-23-67-161-469-1,327-1,541-9,289-10,787-30,521-88,909-213,647-622,363-2,044,907-14,314,349

More Examples

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