Q: What are the factor combinations of the number 343,762,003?

 A:
Positive:   1 x 34376200313 x 2644323119 x 18092737107 x 3212729247 x 13917491391 x 2471332033 x 16909113007 x 26429
Negative: -1 x -343762003-13 x -26443231-19 x -18092737-107 x -3212729-247 x -1391749-1391 x -247133-2033 x -169091-13007 x -26429


How do I find the factor combinations of the number 343,762,003?

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 343,762,003, 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.

1 343,762,003
-1 -343,762,003

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 343,762,003.

Example:
1 x 343,762,003 = 343,762,003
and
-1 x -343,762,003 = 343,762,003
Notice both answers equal 343,762,003

With that explanation out of the way, let's continue. Next, we take the number 343,762,003 and divide it by 2:

343,762,003 ÷ 2 = 171,881,001.5

If the quotient is a whole number, then 2 and 171,881,001.5 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:

1 343,762,003
-1 -343,762,003

Now, we try dividing 343,762,003 by 3:

343,762,003 ÷ 3 = 114,587,334.3333

If the quotient is a whole number, then 3 and 114,587,334.3333 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:

1 343,762,003
-1 -343,762,003

Let's try dividing by 4:

343,762,003 ÷ 4 = 85,940,500.75

If the quotient is a whole number, then 4 and 85,940,500.75 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:

1 343,762,003
-1 343,762,003
Keep dividing by the next highest number until you cannot divide anymore.

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

113191072471,3912,03313,00726,429169,091247,1331,391,7493,212,72918,092,73726,443,231343,762,003
-1-13-19-107-247-1,391-2,033-13,007-26,429-169,091-247,133-1,391,749-3,212,729-18,092,737-26,443,231-343,762,003

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