Q: What are the factor combinations of the number 343,400,255?

 A:
Positive:   1 x 3434002555 x 6868005111 x 3121820517 x 2020001555 x 624364185 x 4040003187 x 1836365935 x 367273
Negative: -1 x -343400255-5 x -68680051-11 x -31218205-17 x -20200015-55 x -6243641-85 x -4040003-187 x -1836365-935 x -367273


How do I find the factor combinations of the number 343,400,255?

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 343,400,255, 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.

1 343,400,255
-1 -343,400,255

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 343,400,255.

Example:
1 x 343,400,255 = 343,400,255
and
-1 x -343,400,255 = 343,400,255
Notice both answers equal 343,400,255

With that explanation out of the way, let's continue. Next, we take the number 343,400,255 and divide it by 2:

343,400,255 ÷ 2 = 171,700,127.5

If the quotient is a whole number, then 2 and 171,700,127.5 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:

1 343,400,255
-1 -343,400,255

Now, we try dividing 343,400,255 by 3:

343,400,255 ÷ 3 = 114,466,751.6667

If the quotient is a whole number, then 3 and 114,466,751.6667 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:

1 343,400,255
-1 -343,400,255

Let's try dividing by 4:

343,400,255 ÷ 4 = 85,850,063.75

If the quotient is a whole number, then 4 and 85,850,063.75 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:

1 343,400,255
-1 343,400,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935367,2731,836,3654,040,0036,243,64120,200,01531,218,20568,680,051343,400,255
-1-5-11-17-55-85-187-935-367,273-1,836,365-4,040,003-6,243,641-20,200,015-31,218,205-68,680,051-343,400,255

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