Q: What are the factor combinations of the number 349,859,111?

 A:
Positive:   1 x 3498591117 x 49979873173 x 2022307251 x 13938611151 x 3039611211 x 2889011757 x 1991238057 x 43423
Negative: -1 x -349859111-7 x -49979873-173 x -2022307-251 x -1393861-1151 x -303961-1211 x -288901-1757 x -199123-8057 x -43423


How do I find the factor combinations of the number 349,859,111?

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 349,859,111, 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.

1 349,859,111
-1 -349,859,111

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 349,859,111.

Example:
1 x 349,859,111 = 349,859,111
and
-1 x -349,859,111 = 349,859,111
Notice both answers equal 349,859,111

With that explanation out of the way, let's continue. Next, we take the number 349,859,111 and divide it by 2:

349,859,111 ÷ 2 = 174,929,555.5

If the quotient is a whole number, then 2 and 174,929,555.5 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:

1 349,859,111
-1 -349,859,111

Now, we try dividing 349,859,111 by 3:

349,859,111 ÷ 3 = 116,619,703.6667

If the quotient is a whole number, then 3 and 116,619,703.6667 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:

1 349,859,111
-1 -349,859,111

Let's try dividing by 4:

349,859,111 ÷ 4 = 87,464,777.75

If the quotient is a whole number, then 4 and 87,464,777.75 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:

1 349,859,111
-1 349,859,111
Keep dividing by the next highest number until you cannot divide anymore.

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

171732511,1511,2111,7578,05743,423199,123288,901303,9611,393,8612,022,30749,979,873349,859,111
-1-7-173-251-1,151-1,211-1,757-8,057-43,423-199,123-288,901-303,961-1,393,861-2,022,307-49,979,873-349,859,111

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