Q: What are the factor combinations of the number 244,365,529?

 A:
Positive:   1 x 24436552931 x 788275973 x 334747383 x 29441631301 x 1878292263 x 1079832573 x 949736059 x 40331
Negative: -1 x -244365529-31 x -7882759-73 x -3347473-83 x -2944163-1301 x -187829-2263 x -107983-2573 x -94973-6059 x -40331


How do I find the factor combinations of the number 244,365,529?

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 244,365,529, 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.

1 244,365,529
-1 -244,365,529

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 244,365,529.

Example:
1 x 244,365,529 = 244,365,529
and
-1 x -244,365,529 = 244,365,529
Notice both answers equal 244,365,529

With that explanation out of the way, let's continue. Next, we take the number 244,365,529 and divide it by 2:

244,365,529 ÷ 2 = 122,182,764.5

If the quotient is a whole number, then 2 and 122,182,764.5 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:

1 244,365,529
-1 -244,365,529

Now, we try dividing 244,365,529 by 3:

244,365,529 ÷ 3 = 81,455,176.3333

If the quotient is a whole number, then 3 and 81,455,176.3333 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:

1 244,365,529
-1 -244,365,529

Let's try dividing by 4:

244,365,529 ÷ 4 = 61,091,382.25

If the quotient is a whole number, then 4 and 61,091,382.25 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:

1 244,365,529
-1 244,365,529
Keep dividing by the next highest number until you cannot divide anymore.

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

13173831,3012,2632,5736,05940,33194,973107,983187,8292,944,1633,347,4737,882,759244,365,529
-1-31-73-83-1,301-2,263-2,573-6,059-40,331-94,973-107,983-187,829-2,944,163-3,347,473-7,882,759-244,365,529

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 244,365,529:


Ask a Question