Q: What are the factor combinations of the number 16,704,743?

 A:
Positive:   1 x 1670474311 x 151861319 x 879197209 x 79927257 x 64999311 x 537132827 x 59093421 x 4883
Negative: -1 x -16704743-11 x -1518613-19 x -879197-209 x -79927-257 x -64999-311 x -53713-2827 x -5909-3421 x -4883


How do I find the factor combinations of the number 16,704,743?

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 16,704,743, 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 16,704,743
-1 -16,704,743

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 16,704,743.

Example:
1 x 16,704,743 = 16,704,743
and
-1 x -16,704,743 = 16,704,743
Notice both answers equal 16,704,743

With that explanation out of the way, let's continue. Next, we take the number 16,704,743 and divide it by 2:

16,704,743 ÷ 2 = 8,352,371.5

If the quotient is a whole number, then 2 and 8,352,371.5 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 16,704,743
-1 -16,704,743

Now, we try dividing 16,704,743 by 3:

16,704,743 ÷ 3 = 5,568,247.6667

If the quotient is a whole number, then 3 and 5,568,247.6667 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 16,704,743
-1 -16,704,743

Let's try dividing by 4:

16,704,743 ÷ 4 = 4,176,185.75

If the quotient is a whole number, then 4 and 4,176,185.75 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 16,704,743
-1 16,704,743
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092573112,8273,4214,8835,90953,71364,99979,927879,1971,518,61316,704,743
-1-11-19-209-257-311-2,827-3,421-4,883-5,909-53,713-64,999-79,927-879,197-1,518,613-16,704,743

More Examples

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