Q: What are the factor combinations of the number 344,204,143?

 A:
Positive:   1 x 34420414341 x 8395223137 x 2512439233 x 1477271263 x 13087615617 x 612799553 x 3603110783 x 31921
Negative: -1 x -344204143-41 x -8395223-137 x -2512439-233 x -1477271-263 x -1308761-5617 x -61279-9553 x -36031-10783 x -31921


How do I find the factor combinations of the number 344,204,143?

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 344,204,143, 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.

1 344,204,143
-1 -344,204,143

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 344,204,143.

Example:
1 x 344,204,143 = 344,204,143
and
-1 x -344,204,143 = 344,204,143
Notice both answers equal 344,204,143

With that explanation out of the way, let's continue. Next, we take the number 344,204,143 and divide it by 2:

344,204,143 ÷ 2 = 172,102,071.5

If the quotient is a whole number, then 2 and 172,102,071.5 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:

1 344,204,143
-1 -344,204,143

Now, we try dividing 344,204,143 by 3:

344,204,143 ÷ 3 = 114,734,714.3333

If the quotient is a whole number, then 3 and 114,734,714.3333 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:

1 344,204,143
-1 -344,204,143

Let's try dividing by 4:

344,204,143 ÷ 4 = 86,051,035.75

If the quotient is a whole number, then 4 and 86,051,035.75 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:

1 344,204,143
-1 344,204,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1411372332635,6179,55310,78331,92136,03161,2791,308,7611,477,2712,512,4398,395,223344,204,143
-1-41-137-233-263-5,617-9,553-10,783-31,921-36,031-61,279-1,308,761-1,477,271-2,512,439-8,395,223-344,204,143

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 344,204,143:


Ask a Question