Q: What are the factor combinations of the number 335,115,155?

 A:
Positive:   1 x 3351151555 x 6702303129 x 11555695145 x 2311139149 x 2249095745 x 4498194321 x 7755515511 x 21605
Negative: -1 x -335115155-5 x -67023031-29 x -11555695-145 x -2311139-149 x -2249095-745 x -449819-4321 x -77555-15511 x -21605


How do I find the factor combinations of the number 335,115,155?

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 335,115,155, 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.

1 335,115,155
-1 -335,115,155

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 335,115,155.

Example:
1 x 335,115,155 = 335,115,155
and
-1 x -335,115,155 = 335,115,155
Notice both answers equal 335,115,155

With that explanation out of the way, let's continue. Next, we take the number 335,115,155 and divide it by 2:

335,115,155 ÷ 2 = 167,557,577.5

If the quotient is a whole number, then 2 and 167,557,577.5 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:

1 335,115,155
-1 -335,115,155

Now, we try dividing 335,115,155 by 3:

335,115,155 ÷ 3 = 111,705,051.6667

If the quotient is a whole number, then 3 and 111,705,051.6667 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:

1 335,115,155
-1 -335,115,155

Let's try dividing by 4:

335,115,155 ÷ 4 = 83,778,788.75

If the quotient is a whole number, then 4 and 83,778,788.75 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:

1 335,115,155
-1 335,115,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451497454,32115,51121,60577,555449,8192,249,0952,311,13911,555,69567,023,031335,115,155
-1-5-29-145-149-745-4,321-15,511-21,605-77,555-449,819-2,249,095-2,311,139-11,555,695-67,023,031-335,115,155

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