Q: What are the factor combinations of the number 343,422,101?

 A:
Positive:   1 x 34342210111 x 3122019167 x 512570371 x 4836931737 x 465973781 x 4397214757 x 721936563 x 52327
Negative: -1 x -343422101-11 x -31220191-67 x -5125703-71 x -4836931-737 x -465973-781 x -439721-4757 x -72193-6563 x -52327


How do I find the factor combinations of the number 343,422,101?

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 343,422,101, 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.

1 343,422,101
-1 -343,422,101

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 343,422,101.

Example:
1 x 343,422,101 = 343,422,101
and
-1 x -343,422,101 = 343,422,101
Notice both answers equal 343,422,101

With that explanation out of the way, let's continue. Next, we take the number 343,422,101 and divide it by 2:

343,422,101 ÷ 2 = 171,711,050.5

If the quotient is a whole number, then 2 and 171,711,050.5 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:

1 343,422,101
-1 -343,422,101

Now, we try dividing 343,422,101 by 3:

343,422,101 ÷ 3 = 114,474,033.6667

If the quotient is a whole number, then 3 and 114,474,033.6667 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:

1 343,422,101
-1 -343,422,101

Let's try dividing by 4:

343,422,101 ÷ 4 = 85,855,525.25

If the quotient is a whole number, then 4 and 85,855,525.25 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:

1 343,422,101
-1 343,422,101
Keep dividing by the next highest number until you cannot divide anymore.

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

11167717377814,7576,56352,32772,193439,721465,9734,836,9315,125,70331,220,191343,422,101
-1-11-67-71-737-781-4,757-6,563-52,327-72,193-439,721-465,973-4,836,931-5,125,703-31,220,191-343,422,101

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