Q: What are the factor combinations of the number 344,041,237?

 A:
Positive:   1 x 34404123743 x 8000959241 x 142755710363 x 33199
Negative: -1 x -344041237-43 x -8000959-241 x -1427557-10363 x -33199


How do I find the factor combinations of the number 344,041,237?

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 344,041,237, 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.

1 344,041,237
-1 -344,041,237

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 344,041,237.

Example:
1 x 344,041,237 = 344,041,237
and
-1 x -344,041,237 = 344,041,237
Notice both answers equal 344,041,237

With that explanation out of the way, let's continue. Next, we take the number 344,041,237 and divide it by 2:

344,041,237 ÷ 2 = 172,020,618.5

If the quotient is a whole number, then 2 and 172,020,618.5 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:

1 344,041,237
-1 -344,041,237

Now, we try dividing 344,041,237 by 3:

344,041,237 ÷ 3 = 114,680,412.3333

If the quotient is a whole number, then 3 and 114,680,412.3333 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:

1 344,041,237
-1 -344,041,237

Let's try dividing by 4:

344,041,237 ÷ 4 = 86,010,309.25

If the quotient is a whole number, then 4 and 86,010,309.25 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:

1 344,041,237
-1 344,041,237
Keep dividing by the next highest number until you cannot divide anymore.

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

14324110,36333,1991,427,5578,000,959344,041,237
-1-43-241-10,363-33,199-1,427,557-8,000,959-344,041,237

More Examples

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