Q: What are the factor combinations of the number 345,442,055?

 A:
Positive:   1 x 3454420555 x 690884117 x 4934886529 x 1191179535 x 9869773145 x 2382359203 x 17016851015 x 340337
Negative: -1 x -345442055-5 x -69088411-7 x -49348865-29 x -11911795-35 x -9869773-145 x -2382359-203 x -1701685-1015 x -340337


How do I find the factor combinations of the number 345,442,055?

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 345,442,055, 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.

1 345,442,055
-1 -345,442,055

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 345,442,055.

Example:
1 x 345,442,055 = 345,442,055
and
-1 x -345,442,055 = 345,442,055
Notice both answers equal 345,442,055

With that explanation out of the way, let's continue. Next, we take the number 345,442,055 and divide it by 2:

345,442,055 ÷ 2 = 172,721,027.5

If the quotient is a whole number, then 2 and 172,721,027.5 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:

1 345,442,055
-1 -345,442,055

Now, we try dividing 345,442,055 by 3:

345,442,055 ÷ 3 = 115,147,351.6667

If the quotient is a whole number, then 3 and 115,147,351.6667 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:

1 345,442,055
-1 -345,442,055

Let's try dividing by 4:

345,442,055 ÷ 4 = 86,360,513.75

If the quotient is a whole number, then 4 and 86,360,513.75 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:

1 345,442,055
-1 345,442,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,015340,3371,701,6852,382,3599,869,77311,911,79549,348,86569,088,411345,442,055
-1-5-7-29-35-145-203-1,015-340,337-1,701,685-2,382,359-9,869,773-11,911,795-49,348,865-69,088,411-345,442,055

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