Q: What are the factor combinations of the number 350,066,165?

 A:
Positive:   1 x 3500661655 x 7001323319 x 1842453595 x 3684907619 x 5655353095 x 1131075953 x 5880511761 x 29765
Negative: -1 x -350066165-5 x -70013233-19 x -18424535-95 x -3684907-619 x -565535-3095 x -113107-5953 x -58805-11761 x -29765


How do I find the factor combinations of the number 350,066,165?

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 350,066,165, 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.

1 350,066,165
-1 -350,066,165

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 350,066,165.

Example:
1 x 350,066,165 = 350,066,165
and
-1 x -350,066,165 = 350,066,165
Notice both answers equal 350,066,165

With that explanation out of the way, let's continue. Next, we take the number 350,066,165 and divide it by 2:

350,066,165 ÷ 2 = 175,033,082.5

If the quotient is a whole number, then 2 and 175,033,082.5 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:

1 350,066,165
-1 -350,066,165

Now, we try dividing 350,066,165 by 3:

350,066,165 ÷ 3 = 116,688,721.6667

If the quotient is a whole number, then 3 and 116,688,721.6667 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:

1 350,066,165
-1 -350,066,165

Let's try dividing by 4:

350,066,165 ÷ 4 = 87,516,541.25

If the quotient is a whole number, then 4 and 87,516,541.25 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:

1 350,066,165
-1 350,066,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956193,0955,95311,76129,76558,805113,107565,5353,684,90718,424,53570,013,233350,066,165
-1-5-19-95-619-3,095-5,953-11,761-29,765-58,805-113,107-565,535-3,684,907-18,424,535-70,013,233-350,066,165

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