Q: What are the factor combinations of the number 335,210,155?

 A:
Positive:   1 x 3352101555 x 670420317 x 4788716535 x 957743343 x 7795585215 x 1559117301 x 11136551505 x 222731
Negative: -1 x -335210155-5 x -67042031-7 x -47887165-35 x -9577433-43 x -7795585-215 x -1559117-301 x -1113655-1505 x -222731


How do I find the factor combinations of the number 335,210,155?

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 335,210,155, 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.

1 335,210,155
-1 -335,210,155

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 335,210,155.

Example:
1 x 335,210,155 = 335,210,155
and
-1 x -335,210,155 = 335,210,155
Notice both answers equal 335,210,155

With that explanation out of the way, let's continue. Next, we take the number 335,210,155 and divide it by 2:

335,210,155 ÷ 2 = 167,605,077.5

If the quotient is a whole number, then 2 and 167,605,077.5 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:

1 335,210,155
-1 -335,210,155

Now, we try dividing 335,210,155 by 3:

335,210,155 ÷ 3 = 111,736,718.3333

If the quotient is a whole number, then 3 and 111,736,718.3333 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:

1 335,210,155
-1 -335,210,155

Let's try dividing by 4:

335,210,155 ÷ 4 = 83,802,538.75

If the quotient is a whole number, then 4 and 83,802,538.75 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:

1 335,210,155
-1 335,210,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,505222,7311,113,6551,559,1177,795,5859,577,43347,887,16567,042,031335,210,155
-1-5-7-35-43-215-301-1,505-222,731-1,113,655-1,559,117-7,795,585-9,577,433-47,887,165-67,042,031-335,210,155

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