Q: What are the factor combinations of the number 345,356,011?

 A:
Positive:   1 x 3453560117 x 4933657311 x 3139600113 x 2656584777 x 448514391 x 3795121143 x 24150771001 x 345011
Negative: -1 x -345356011-7 x -49336573-11 x -31396001-13 x -26565847-77 x -4485143-91 x -3795121-143 x -2415077-1001 x -345011


How do I find the factor combinations of the number 345,356,011?

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 345,356,011, 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.

1 345,356,011
-1 -345,356,011

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 345,356,011.

Example:
1 x 345,356,011 = 345,356,011
and
-1 x -345,356,011 = 345,356,011
Notice both answers equal 345,356,011

With that explanation out of the way, let's continue. Next, we take the number 345,356,011 and divide it by 2:

345,356,011 ÷ 2 = 172,678,005.5

If the quotient is a whole number, then 2 and 172,678,005.5 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:

1 345,356,011
-1 -345,356,011

Now, we try dividing 345,356,011 by 3:

345,356,011 ÷ 3 = 115,118,670.3333

If the quotient is a whole number, then 3 and 115,118,670.3333 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:

1 345,356,011
-1 -345,356,011

Let's try dividing by 4:

345,356,011 ÷ 4 = 86,339,002.75

If the quotient is a whole number, then 4 and 86,339,002.75 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:

1 345,356,011
-1 345,356,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001345,0112,415,0773,795,1214,485,14326,565,84731,396,00149,336,573345,356,011
-1-7-11-13-77-91-143-1,001-345,011-2,415,077-3,795,121-4,485,143-26,565,847-31,396,001-49,336,573-345,356,011

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