Q: What are the factor combinations of the number 14,195,425?

 A:
Positive:   1 x 141954255 x 283908517 x 83502525 x 56781785 x 167005127 x 111775263 x 53975425 x 33401635 x 223551315 x 107952159 x 65753175 x 4471
Negative: -1 x -14195425-5 x -2839085-17 x -835025-25 x -567817-85 x -167005-127 x -111775-263 x -53975-425 x -33401-635 x -22355-1315 x -10795-2159 x -6575-3175 x -4471


How do I find the factor combinations of the number 14,195,425?

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 14,195,425, 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 14,195,425
-1 -14,195,425

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 14,195,425.

Example:
1 x 14,195,425 = 14,195,425
and
-1 x -14,195,425 = 14,195,425
Notice both answers equal 14,195,425

With that explanation out of the way, let's continue. Next, we take the number 14,195,425 and divide it by 2:

14,195,425 ÷ 2 = 7,097,712.5

If the quotient is a whole number, then 2 and 7,097,712.5 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 14,195,425
-1 -14,195,425

Now, we try dividing 14,195,425 by 3:

14,195,425 ÷ 3 = 4,731,808.3333

If the quotient is a whole number, then 3 and 4,731,808.3333 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 14,195,425
-1 -14,195,425

Let's try dividing by 4:

14,195,425 ÷ 4 = 3,548,856.25

If the quotient is a whole number, then 4 and 3,548,856.25 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 14,195,425
-1 14,195,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851272634256351,3152,1593,1754,4716,57510,79522,35533,40153,975111,775167,005567,817835,0252,839,08514,195,425
-1-5-17-25-85-127-263-425-635-1,315-2,159-3,175-4,471-6,575-10,795-22,355-33,401-53,975-111,775-167,005-567,817-835,025-2,839,085-14,195,425

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