Q: What are the factor combinations of the number 335,402,215?

 A:
Positive:   1 x 3354022155 x 6708044323 x 14582705115 x 29165411459 x 2298851999 x 1677857295 x 459779995 x 33557
Negative: -1 x -335402215-5 x -67080443-23 x -14582705-115 x -2916541-1459 x -229885-1999 x -167785-7295 x -45977-9995 x -33557


How do I find the factor combinations of the number 335,402,215?

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 335,402,215, 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.

1 335,402,215
-1 -335,402,215

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 335,402,215.

Example:
1 x 335,402,215 = 335,402,215
and
-1 x -335,402,215 = 335,402,215
Notice both answers equal 335,402,215

With that explanation out of the way, let's continue. Next, we take the number 335,402,215 and divide it by 2:

335,402,215 ÷ 2 = 167,701,107.5

If the quotient is a whole number, then 2 and 167,701,107.5 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:

1 335,402,215
-1 -335,402,215

Now, we try dividing 335,402,215 by 3:

335,402,215 ÷ 3 = 111,800,738.3333

If the quotient is a whole number, then 3 and 111,800,738.3333 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:

1 335,402,215
-1 -335,402,215

Let's try dividing by 4:

335,402,215 ÷ 4 = 83,850,553.75

If the quotient is a whole number, then 4 and 83,850,553.75 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:

1 335,402,215
-1 335,402,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,4591,9997,2959,99533,55745,977167,785229,8852,916,54114,582,70567,080,443335,402,215
-1-5-23-115-1,459-1,999-7,295-9,995-33,557-45,977-167,785-229,885-2,916,541-14,582,705-67,080,443-335,402,215

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 335,402,215:


Ask a Question