Q: What are the factor combinations of the number 335,233,525?

 A:
Positive:   1 x 3352335255 x 6704670511 x 3047577525 x 1340934155 x 6095155121 x 2770525275 x 1219031605 x 5541053025 x 110821
Negative: -1 x -335233525-5 x -67046705-11 x -30475775-25 x -13409341-55 x -6095155-121 x -2770525-275 x -1219031-605 x -554105-3025 x -110821


How do I find the factor combinations of the number 335,233,525?

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 335,233,525, 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.

1 335,233,525
-1 -335,233,525

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 335,233,525.

Example:
1 x 335,233,525 = 335,233,525
and
-1 x -335,233,525 = 335,233,525
Notice both answers equal 335,233,525

With that explanation out of the way, let's continue. Next, we take the number 335,233,525 and divide it by 2:

335,233,525 ÷ 2 = 167,616,762.5

If the quotient is a whole number, then 2 and 167,616,762.5 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:

1 335,233,525
-1 -335,233,525

Now, we try dividing 335,233,525 by 3:

335,233,525 ÷ 3 = 111,744,508.3333

If the quotient is a whole number, then 3 and 111,744,508.3333 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:

1 335,233,525
-1 -335,233,525

Let's try dividing by 4:

335,233,525 ÷ 4 = 83,808,381.25

If the quotient is a whole number, then 4 and 83,808,381.25 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:

1 335,233,525
-1 335,233,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,025110,821554,1051,219,0312,770,5256,095,15513,409,34130,475,77567,046,705335,233,525
-1-5-11-25-55-121-275-605-3,025-110,821-554,105-1,219,031-2,770,525-6,095,155-13,409,341-30,475,775-67,046,705-335,233,525

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