Q: What are the factor combinations of the number 335,356,859?

 A:
Positive:   1 x 33535685919 x 1765036123 x 14580733211 x 1589369437 x 7674073637 x 922074009 x 836514853 x 69103
Negative: -1 x -335356859-19 x -17650361-23 x -14580733-211 x -1589369-437 x -767407-3637 x -92207-4009 x -83651-4853 x -69103


How do I find the factor combinations of the number 335,356,859?

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 335,356,859, 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.

1 335,356,859
-1 -335,356,859

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 335,356,859.

Example:
1 x 335,356,859 = 335,356,859
and
-1 x -335,356,859 = 335,356,859
Notice both answers equal 335,356,859

With that explanation out of the way, let's continue. Next, we take the number 335,356,859 and divide it by 2:

335,356,859 ÷ 2 = 167,678,429.5

If the quotient is a whole number, then 2 and 167,678,429.5 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:

1 335,356,859
-1 -335,356,859

Now, we try dividing 335,356,859 by 3:

335,356,859 ÷ 3 = 111,785,619.6667

If the quotient is a whole number, then 3 and 111,785,619.6667 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:

1 335,356,859
-1 -335,356,859

Let's try dividing by 4:

335,356,859 ÷ 4 = 83,839,214.75

If the quotient is a whole number, then 4 and 83,839,214.75 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:

1 335,356,859
-1 335,356,859
Keep dividing by the next highest number until you cannot divide anymore.

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

119232114373,6374,0094,85369,10383,65192,207767,4071,589,36914,580,73317,650,361335,356,859
-1-19-23-211-437-3,637-4,009-4,853-69,103-83,651-92,207-767,407-1,589,369-14,580,733-17,650,361-335,356,859

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