Q: What are the factor combinations of the number 336,520,505?

 A:
Positive:   1 x 3365205055 x 673041011109 x 3034455545 x 60689
Negative: -1 x -336520505-5 x -67304101-1109 x -303445-5545 x -60689


How do I find the factor combinations of the number 336,520,505?

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 336,520,505, 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.

1 336,520,505
-1 -336,520,505

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 336,520,505.

Example:
1 x 336,520,505 = 336,520,505
and
-1 x -336,520,505 = 336,520,505
Notice both answers equal 336,520,505

With that explanation out of the way, let's continue. Next, we take the number 336,520,505 and divide it by 2:

336,520,505 ÷ 2 = 168,260,252.5

If the quotient is a whole number, then 2 and 168,260,252.5 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:

1 336,520,505
-1 -336,520,505

Now, we try dividing 336,520,505 by 3:

336,520,505 ÷ 3 = 112,173,501.6667

If the quotient is a whole number, then 3 and 112,173,501.6667 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:

1 336,520,505
-1 -336,520,505

Let's try dividing by 4:

336,520,505 ÷ 4 = 84,130,126.25

If the quotient is a whole number, then 4 and 84,130,126.25 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:

1 336,520,505
-1 336,520,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151,1095,54560,689303,44567,304,101336,520,505
-1-5-1,109-5,545-60,689-303,445-67,304,101-336,520,505

More Examples

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