Q: What are the factor combinations of the number 343,442,005?

 A:
Positive:   1 x 3434420055 x 6868840119 x 1807589573 x 470468595 x 3615179365 x 9409371387 x 2476156935 x 49523
Negative: -1 x -343442005-5 x -68688401-19 x -18075895-73 x -4704685-95 x -3615179-365 x -940937-1387 x -247615-6935 x -49523


How do I find the factor combinations of the number 343,442,005?

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 343,442,005, 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.

1 343,442,005
-1 -343,442,005

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 343,442,005.

Example:
1 x 343,442,005 = 343,442,005
and
-1 x -343,442,005 = 343,442,005
Notice both answers equal 343,442,005

With that explanation out of the way, let's continue. Next, we take the number 343,442,005 and divide it by 2:

343,442,005 ÷ 2 = 171,721,002.5

If the quotient is a whole number, then 2 and 171,721,002.5 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:

1 343,442,005
-1 -343,442,005

Now, we try dividing 343,442,005 by 3:

343,442,005 ÷ 3 = 114,480,668.3333

If the quotient is a whole number, then 3 and 114,480,668.3333 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:

1 343,442,005
-1 -343,442,005

Let's try dividing by 4:

343,442,005 ÷ 4 = 85,860,501.25

If the quotient is a whole number, then 4 and 85,860,501.25 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:

1 343,442,005
-1 343,442,005
Keep dividing by the next highest number until you cannot divide anymore.

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

151973953651,3876,93549,523247,615940,9373,615,1794,704,68518,075,89568,688,401343,442,005
-1-5-19-73-95-365-1,387-6,935-49,523-247,615-940,937-3,615,179-4,704,685-18,075,895-68,688,401-343,442,005

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