Q: What are the factor combinations of the number 12,450,175?

 A:
Positive:   1 x 124501755 x 249003525 x 498007317 x 392751571 x 79251585 x 7855
Negative: -1 x -12450175-5 x -2490035-25 x -498007-317 x -39275-1571 x -7925-1585 x -7855


How do I find the factor combinations of the number 12,450,175?

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 12,450,175, 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 12,450,175
-1 -12,450,175

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 12,450,175.

Example:
1 x 12,450,175 = 12,450,175
and
-1 x -12,450,175 = 12,450,175
Notice both answers equal 12,450,175

With that explanation out of the way, let's continue. Next, we take the number 12,450,175 and divide it by 2:

12,450,175 ÷ 2 = 6,225,087.5

If the quotient is a whole number, then 2 and 6,225,087.5 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 12,450,175
-1 -12,450,175

Now, we try dividing 12,450,175 by 3:

12,450,175 ÷ 3 = 4,150,058.3333

If the quotient is a whole number, then 3 and 4,150,058.3333 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 12,450,175
-1 -12,450,175

Let's try dividing by 4:

12,450,175 ÷ 4 = 3,112,543.75

If the quotient is a whole number, then 4 and 3,112,543.75 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 12,450,175
-1 12,450,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15253171,5711,5857,8557,92539,275498,0072,490,03512,450,175
-1-5-25-317-1,571-1,585-7,855-7,925-39,275-498,007-2,490,035-12,450,175

More Examples

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