Q: What are the factor combinations of the number 344,574,377?

 A:
Positive:   1 x 3445743777 x 4922491117 x 2026908137 x 9312821119 x 2895583259 x 1330403629 x 5478134403 x 78259
Negative: -1 x -344574377-7 x -49224911-17 x -20269081-37 x -9312821-119 x -2895583-259 x -1330403-629 x -547813-4403 x -78259


How do I find the factor combinations of the number 344,574,377?

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 344,574,377, 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.

1 344,574,377
-1 -344,574,377

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 344,574,377.

Example:
1 x 344,574,377 = 344,574,377
and
-1 x -344,574,377 = 344,574,377
Notice both answers equal 344,574,377

With that explanation out of the way, let's continue. Next, we take the number 344,574,377 and divide it by 2:

344,574,377 ÷ 2 = 172,287,188.5

If the quotient is a whole number, then 2 and 172,287,188.5 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:

1 344,574,377
-1 -344,574,377

Now, we try dividing 344,574,377 by 3:

344,574,377 ÷ 3 = 114,858,125.6667

If the quotient is a whole number, then 3 and 114,858,125.6667 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:

1 344,574,377
-1 -344,574,377

Let's try dividing by 4:

344,574,377 ÷ 4 = 86,143,594.25

If the quotient is a whole number, then 4 and 86,143,594.25 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:

1 344,574,377
-1 344,574,377
Keep dividing by the next highest number until you cannot divide anymore.

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

1717371192596294,40378,259547,8131,330,4032,895,5839,312,82120,269,08149,224,911344,574,377
-1-7-17-37-119-259-629-4,403-78,259-547,813-1,330,403-2,895,583-9,312,821-20,269,081-49,224,911-344,574,377

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 344,574,377:


Ask a Question