Q: What are the factor combinations of the number 346,455,655?

 A:
Positive:   1 x 3464556555 x 692911317 x 4949366513 x 2665043535 x 989873365 x 533008791 x 3807205455 x 761441
Negative: -1 x -346455655-5 x -69291131-7 x -49493665-13 x -26650435-35 x -9898733-65 x -5330087-91 x -3807205-455 x -761441


How do I find the factor combinations of the number 346,455,655?

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 346,455,655, 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.

1 346,455,655
-1 -346,455,655

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 346,455,655.

Example:
1 x 346,455,655 = 346,455,655
and
-1 x -346,455,655 = 346,455,655
Notice both answers equal 346,455,655

With that explanation out of the way, let's continue. Next, we take the number 346,455,655 and divide it by 2:

346,455,655 ÷ 2 = 173,227,827.5

If the quotient is a whole number, then 2 and 173,227,827.5 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:

1 346,455,655
-1 -346,455,655

Now, we try dividing 346,455,655 by 3:

346,455,655 ÷ 3 = 115,485,218.3333

If the quotient is a whole number, then 3 and 115,485,218.3333 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:

1 346,455,655
-1 -346,455,655

Let's try dividing by 4:

346,455,655 ÷ 4 = 86,613,913.75

If the quotient is a whole number, then 4 and 86,613,913.75 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:

1 346,455,655
-1 346,455,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455761,4413,807,2055,330,0879,898,73326,650,43549,493,66569,291,131346,455,655
-1-5-7-13-35-65-91-455-761,441-3,807,205-5,330,087-9,898,733-26,650,435-49,493,665-69,291,131-346,455,655

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