Q: What are the factor combinations of the number 16,746,625?

 A:
Positive:   1 x 167466255 x 33493257 x 239237525 x 66986535 x 478475125 x 133973175 x 95695875 x 19139
Negative: -1 x -16746625-5 x -3349325-7 x -2392375-25 x -669865-35 x -478475-125 x -133973-175 x -95695-875 x -19139


How do I find the factor combinations of the number 16,746,625?

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 16,746,625, 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 16,746,625
-1 -16,746,625

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 16,746,625.

Example:
1 x 16,746,625 = 16,746,625
and
-1 x -16,746,625 = 16,746,625
Notice both answers equal 16,746,625

With that explanation out of the way, let's continue. Next, we take the number 16,746,625 and divide it by 2:

16,746,625 ÷ 2 = 8,373,312.5

If the quotient is a whole number, then 2 and 8,373,312.5 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 16,746,625
-1 -16,746,625

Now, we try dividing 16,746,625 by 3:

16,746,625 ÷ 3 = 5,582,208.3333

If the quotient is a whole number, then 3 and 5,582,208.3333 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 16,746,625
-1 -16,746,625

Let's try dividing by 4:

16,746,625 ÷ 4 = 4,186,656.25

If the quotient is a whole number, then 4 and 4,186,656.25 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 16,746,625
-1 16,746,625
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587519,13995,695133,973478,475669,8652,392,3753,349,32516,746,625
-1-5-7-25-35-125-175-875-19,139-95,695-133,973-478,475-669,865-2,392,375-3,349,325-16,746,625

More Examples

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