Q: What are the factor combinations of the number 335,301,125?

 A:
Positive:   1 x 3353011255 x 6706022525 x 13412045125 x 26824091289 x 2601252081 x 1611256445 x 5202510405 x 32225
Negative: -1 x -335301125-5 x -67060225-25 x -13412045-125 x -2682409-1289 x -260125-2081 x -161125-6445 x -52025-10405 x -32225


How do I find the factor combinations of the number 335,301,125?

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 335,301,125, 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.

1 335,301,125
-1 -335,301,125

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 335,301,125.

Example:
1 x 335,301,125 = 335,301,125
and
-1 x -335,301,125 = 335,301,125
Notice both answers equal 335,301,125

With that explanation out of the way, let's continue. Next, we take the number 335,301,125 and divide it by 2:

335,301,125 ÷ 2 = 167,650,562.5

If the quotient is a whole number, then 2 and 167,650,562.5 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:

1 335,301,125
-1 -335,301,125

Now, we try dividing 335,301,125 by 3:

335,301,125 ÷ 3 = 111,767,041.6667

If the quotient is a whole number, then 3 and 111,767,041.6667 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:

1 335,301,125
-1 -335,301,125

Let's try dividing by 4:

335,301,125 ÷ 4 = 83,825,281.25

If the quotient is a whole number, then 4 and 83,825,281.25 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:

1 335,301,125
-1 335,301,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,2892,0816,44510,40532,22552,025161,125260,1252,682,40913,412,04567,060,225335,301,125
-1-5-25-125-1,289-2,081-6,445-10,405-32,225-52,025-161,125-260,125-2,682,409-13,412,045-67,060,225-335,301,125

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