Q: What are the factor combinations of the number 244,210,375?

 A:
Positive:   1 x 2442103755 x 4884207525 x 9768415125 x 1953683383 x 6376251915 x 1275255101 x 478759575 x 25505
Negative: -1 x -244210375-5 x -48842075-25 x -9768415-125 x -1953683-383 x -637625-1915 x -127525-5101 x -47875-9575 x -25505


How do I find the factor combinations of the number 244,210,375?

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 244,210,375, 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.

1 244,210,375
-1 -244,210,375

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 244,210,375.

Example:
1 x 244,210,375 = 244,210,375
and
-1 x -244,210,375 = 244,210,375
Notice both answers equal 244,210,375

With that explanation out of the way, let's continue. Next, we take the number 244,210,375 and divide it by 2:

244,210,375 ÷ 2 = 122,105,187.5

If the quotient is a whole number, then 2 and 122,105,187.5 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:

1 244,210,375
-1 -244,210,375

Now, we try dividing 244,210,375 by 3:

244,210,375 ÷ 3 = 81,403,458.3333

If the quotient is a whole number, then 3 and 81,403,458.3333 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:

1 244,210,375
-1 -244,210,375

Let's try dividing by 4:

244,210,375 ÷ 4 = 61,052,593.75

If the quotient is a whole number, then 4 and 61,052,593.75 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:

1 244,210,375
-1 244,210,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253831,9155,1019,57525,50547,875127,525637,6251,953,6839,768,41548,842,075244,210,375
-1-5-25-125-383-1,915-5,101-9,575-25,505-47,875-127,525-637,625-1,953,683-9,768,415-48,842,075-244,210,375

More Examples

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