Q: What are the factor combinations of the number 16,015,565?

 A:
Positive:   1 x 160155655 x 320311343 x 372455163 x 98255215 x 74491457 x 35045815 x 196512285 x 7009
Negative: -1 x -16015565-5 x -3203113-43 x -372455-163 x -98255-215 x -74491-457 x -35045-815 x -19651-2285 x -7009


How do I find the factor combinations of the number 16,015,565?

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 16,015,565, 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 16,015,565
-1 -16,015,565

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 16,015,565.

Example:
1 x 16,015,565 = 16,015,565
and
-1 x -16,015,565 = 16,015,565
Notice both answers equal 16,015,565

With that explanation out of the way, let's continue. Next, we take the number 16,015,565 and divide it by 2:

16,015,565 ÷ 2 = 8,007,782.5

If the quotient is a whole number, then 2 and 8,007,782.5 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 16,015,565
-1 -16,015,565

Now, we try dividing 16,015,565 by 3:

16,015,565 ÷ 3 = 5,338,521.6667

If the quotient is a whole number, then 3 and 5,338,521.6667 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 16,015,565
-1 -16,015,565

Let's try dividing by 4:

16,015,565 ÷ 4 = 4,003,891.25

If the quotient is a whole number, then 4 and 4,003,891.25 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 16,015,565
-1 16,015,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15431632154578152,2857,00919,65135,04574,49198,255372,4553,203,11316,015,565
-1-5-43-163-215-457-815-2,285-7,009-19,651-35,045-74,491-98,255-372,455-3,203,113-16,015,565

More Examples

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