Q: What are the factor combinations of the number 344,002,021?

 A:
Positive:   1 x 34400202111 x 3127291117 x 2023541343 x 8000047179 x 1921799187 x 1839583239 x 1439339473 x 727277731 x 4705911969 x 1747092629 x 1308493043 x 1130474063 x 846677697 x 446938041 x 4278110277 x 33473
Negative: -1 x -344002021-11 x -31272911-17 x -20235413-43 x -8000047-179 x -1921799-187 x -1839583-239 x -1439339-473 x -727277-731 x -470591-1969 x -174709-2629 x -130849-3043 x -113047-4063 x -84667-7697 x -44693-8041 x -42781-10277 x -33473


How do I find the factor combinations of the number 344,002,021?

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 344,002,021, 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.

1 344,002,021
-1 -344,002,021

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 344,002,021.

Example:
1 x 344,002,021 = 344,002,021
and
-1 x -344,002,021 = 344,002,021
Notice both answers equal 344,002,021

With that explanation out of the way, let's continue. Next, we take the number 344,002,021 and divide it by 2:

344,002,021 ÷ 2 = 172,001,010.5

If the quotient is a whole number, then 2 and 172,001,010.5 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:

1 344,002,021
-1 -344,002,021

Now, we try dividing 344,002,021 by 3:

344,002,021 ÷ 3 = 114,667,340.3333

If the quotient is a whole number, then 3 and 114,667,340.3333 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:

1 344,002,021
-1 -344,002,021

Let's try dividing by 4:

344,002,021 ÷ 4 = 86,000,505.25

If the quotient is a whole number, then 4 and 86,000,505.25 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:

1 344,002,021
-1 344,002,021
Keep dividing by the next highest number until you cannot divide anymore.

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

11117431791872394737311,9692,6293,0434,0637,6978,04110,27733,47342,78144,69384,667113,047130,849174,709470,591727,2771,439,3391,839,5831,921,7998,000,04720,235,41331,272,911344,002,021
-1-11-17-43-179-187-239-473-731-1,969-2,629-3,043-4,063-7,697-8,041-10,277-33,473-42,781-44,693-84,667-113,047-130,849-174,709-470,591-727,277-1,439,339-1,839,583-1,921,799-8,000,047-20,235,413-31,272,911-344,002,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 344,002,021:


Ask a Question