Q: What are the factor combinations of the number 14,789,225?

 A:
Positive:   1 x 147892255 x 295784511 x 134447525 x 59156955 x 268895121 x 122225275 x 53779605 x 244453025 x 4889
Negative: -1 x -14789225-5 x -2957845-11 x -1344475-25 x -591569-55 x -268895-121 x -122225-275 x -53779-605 x -24445-3025 x -4889


How do I find the factor combinations of the number 14,789,225?

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 14,789,225, 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 14,789,225
-1 -14,789,225

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 14,789,225.

Example:
1 x 14,789,225 = 14,789,225
and
-1 x -14,789,225 = 14,789,225
Notice both answers equal 14,789,225

With that explanation out of the way, let's continue. Next, we take the number 14,789,225 and divide it by 2:

14,789,225 ÷ 2 = 7,394,612.5

If the quotient is a whole number, then 2 and 7,394,612.5 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 14,789,225
-1 -14,789,225

Now, we try dividing 14,789,225 by 3:

14,789,225 ÷ 3 = 4,929,741.6667

If the quotient is a whole number, then 3 and 4,929,741.6667 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 14,789,225
-1 -14,789,225

Let's try dividing by 4:

14,789,225 ÷ 4 = 3,697,306.25

If the quotient is a whole number, then 4 and 3,697,306.25 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 14,789,225
-1 14,789,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,0254,88924,44553,779122,225268,895591,5691,344,4752,957,84514,789,225
-1-5-11-25-55-121-275-605-3,025-4,889-24,445-53,779-122,225-268,895-591,569-1,344,475-2,957,845-14,789,225

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