Q: What are the factor combinations of the number 16,003,207?

 A:
Positive:   1 x 1600320711 x 1454837229 x 698832519 x 6353
Negative: -1 x -16003207-11 x -1454837-229 x -69883-2519 x -6353


How do I find the factor combinations of the number 16,003,207?

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 16,003,207, 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 16,003,207
-1 -16,003,207

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 16,003,207.

Example:
1 x 16,003,207 = 16,003,207
and
-1 x -16,003,207 = 16,003,207
Notice both answers equal 16,003,207

With that explanation out of the way, let's continue. Next, we take the number 16,003,207 and divide it by 2:

16,003,207 ÷ 2 = 8,001,603.5

If the quotient is a whole number, then 2 and 8,001,603.5 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 16,003,207
-1 -16,003,207

Now, we try dividing 16,003,207 by 3:

16,003,207 ÷ 3 = 5,334,402.3333

If the quotient is a whole number, then 3 and 5,334,402.3333 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 16,003,207
-1 -16,003,207

Let's try dividing by 4:

16,003,207 ÷ 4 = 4,000,801.75

If the quotient is a whole number, then 4 and 4,000,801.75 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 16,003,207
-1 16,003,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1112292,5196,35369,8831,454,83716,003,207
-1-11-229-2,519-6,353-69,883-1,454,837-16,003,207

More Examples

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