Q: What are the factor combinations of the number 5,335,565?

 A:
Positive:   1 x 53355655 x 106711329 x 18398531 x 172115145 x 36797155 x 34423899 x 59351187 x 4495
Negative: -1 x -5335565-5 x -1067113-29 x -183985-31 x -172115-145 x -36797-155 x -34423-899 x -5935-1187 x -4495


How do I find the factor combinations of the number 5,335,565?

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 5,335,565, 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 5,335,565
-1 -5,335,565

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 5,335,565.

Example:
1 x 5,335,565 = 5,335,565
and
-1 x -5,335,565 = 5,335,565
Notice both answers equal 5,335,565

With that explanation out of the way, let's continue. Next, we take the number 5,335,565 and divide it by 2:

5,335,565 ÷ 2 = 2,667,782.5

If the quotient is a whole number, then 2 and 2,667,782.5 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 5,335,565
-1 -5,335,565

Now, we try dividing 5,335,565 by 3:

5,335,565 ÷ 3 = 1,778,521.6667

If the quotient is a whole number, then 3 and 1,778,521.6667 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 5,335,565
-1 -5,335,565

Let's try dividing by 4:

5,335,565 ÷ 4 = 1,333,891.25

If the quotient is a whole number, then 4 and 1,333,891.25 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 5,335,565
-1 5,335,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1529311451558991,1874,4955,93534,42336,797172,115183,9851,067,1135,335,565
-1-5-29-31-145-155-899-1,187-4,495-5,935-34,423-36,797-172,115-183,985-1,067,113-5,335,565

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,335,565:


Ask a Question