Q: What are the factor combinations of the number 16,015,747?

 A:
Positive:   1 x 1601574711 x 145597731 x 51663767 x 239041341 x 46967701 x 22847737 x 217312077 x 7711
Negative: -1 x -16015747-11 x -1455977-31 x -516637-67 x -239041-341 x -46967-701 x -22847-737 x -21731-2077 x -7711


How do I find the factor combinations of the number 16,015,747?

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 16,015,747, 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 16,015,747
-1 -16,015,747

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 16,015,747.

Example:
1 x 16,015,747 = 16,015,747
and
-1 x -16,015,747 = 16,015,747
Notice both answers equal 16,015,747

With that explanation out of the way, let's continue. Next, we take the number 16,015,747 and divide it by 2:

16,015,747 ÷ 2 = 8,007,873.5

If the quotient is a whole number, then 2 and 8,007,873.5 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 16,015,747
-1 -16,015,747

Now, we try dividing 16,015,747 by 3:

16,015,747 ÷ 3 = 5,338,582.3333

If the quotient is a whole number, then 3 and 5,338,582.3333 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 16,015,747
-1 -16,015,747

Let's try dividing by 4:

16,015,747 ÷ 4 = 4,003,936.75

If the quotient is a whole number, then 4 and 4,003,936.75 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 16,015,747
-1 16,015,747
Keep dividing by the next highest number until you cannot divide anymore.

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

11131673417017372,0777,71121,73122,84746,967239,041516,6371,455,97716,015,747
-1-11-31-67-341-701-737-2,077-7,711-21,731-22,847-46,967-239,041-516,637-1,455,977-16,015,747

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,015,747:


Ask a Question