Q: What are the factor combinations of the number 14,122,225?

 A:
Positive:   1 x 141222255 x 282444513 x 108632519 x 74327525 x 56488965 x 21726595 x 148655247 x 57175325 x 43453475 x 297311235 x 114352287 x 6175
Negative: -1 x -14122225-5 x -2824445-13 x -1086325-19 x -743275-25 x -564889-65 x -217265-95 x -148655-247 x -57175-325 x -43453-475 x -29731-1235 x -11435-2287 x -6175


How do I find the factor combinations of the number 14,122,225?

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 14,122,225, 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 14,122,225
-1 -14,122,225

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 14,122,225.

Example:
1 x 14,122,225 = 14,122,225
and
-1 x -14,122,225 = 14,122,225
Notice both answers equal 14,122,225

With that explanation out of the way, let's continue. Next, we take the number 14,122,225 and divide it by 2:

14,122,225 ÷ 2 = 7,061,112.5

If the quotient is a whole number, then 2 and 7,061,112.5 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 14,122,225
-1 -14,122,225

Now, we try dividing 14,122,225 by 3:

14,122,225 ÷ 3 = 4,707,408.3333

If the quotient is a whole number, then 3 and 4,707,408.3333 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 14,122,225
-1 -14,122,225

Let's try dividing by 4:

14,122,225 ÷ 4 = 3,530,556.25

If the quotient is a whole number, then 4 and 3,530,556.25 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 14,122,225
-1 14,122,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254751,2352,2876,17511,43529,73143,45357,175148,655217,265564,889743,2751,086,3252,824,44514,122,225
-1-5-13-19-25-65-95-247-325-475-1,235-2,287-6,175-11,435-29,731-43,453-57,175-148,655-217,265-564,889-743,275-1,086,325-2,824,445-14,122,225

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