Q: What are the factor combinations of the number 335,623,525?

 A:
Positive:   1 x 3356235255 x 6712470525 x 1342494129 x 1157322561 x 5502025145 x 2314645305 x 1100405725 x 4629291525 x 2200811769 x 1897257589 x 442258845 x 37945
Negative: -1 x -335623525-5 x -67124705-25 x -13424941-29 x -11573225-61 x -5502025-145 x -2314645-305 x -1100405-725 x -462929-1525 x -220081-1769 x -189725-7589 x -44225-8845 x -37945


How do I find the factor combinations of the number 335,623,525?

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 335,623,525, 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.

1 335,623,525
-1 -335,623,525

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 335,623,525.

Example:
1 x 335,623,525 = 335,623,525
and
-1 x -335,623,525 = 335,623,525
Notice both answers equal 335,623,525

With that explanation out of the way, let's continue. Next, we take the number 335,623,525 and divide it by 2:

335,623,525 ÷ 2 = 167,811,762.5

If the quotient is a whole number, then 2 and 167,811,762.5 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:

1 335,623,525
-1 -335,623,525

Now, we try dividing 335,623,525 by 3:

335,623,525 ÷ 3 = 111,874,508.3333

If the quotient is a whole number, then 3 and 111,874,508.3333 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:

1 335,623,525
-1 -335,623,525

Let's try dividing by 4:

335,623,525 ÷ 4 = 83,905,881.25

If the quotient is a whole number, then 4 and 83,905,881.25 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:

1 335,623,525
-1 335,623,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152529611453057251,5251,7697,5898,84537,94544,225189,725220,081462,9291,100,4052,314,6455,502,02511,573,22513,424,94167,124,705335,623,525
-1-5-25-29-61-145-305-725-1,525-1,769-7,589-8,845-37,945-44,225-189,725-220,081-462,929-1,100,405-2,314,645-5,502,025-11,573,225-13,424,941-67,124,705-335,623,525

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