Q: What are the factor combinations of the number 371,322,245?

 A:
Positive:   1 x 3713222455 x 742644497 x 5304603517 x 2184248535 x 1060920749 x 757800585 x 4368497119 x 3120355245 x 1515601595 x 624071833 x 4457654165 x 89153
Negative: -1 x -371322245-5 x -74264449-7 x -53046035-17 x -21842485-35 x -10609207-49 x -7578005-85 x -4368497-119 x -3120355-245 x -1515601-595 x -624071-833 x -445765-4165 x -89153


How do I find the factor combinations of the number 371,322,245?

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 371,322,245, 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.

1 371,322,245
-1 -371,322,245

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 371,322,245.

Example:
1 x 371,322,245 = 371,322,245
and
-1 x -371,322,245 = 371,322,245
Notice both answers equal 371,322,245

With that explanation out of the way, let's continue. Next, we take the number 371,322,245 and divide it by 2:

371,322,245 ÷ 2 = 185,661,122.5

If the quotient is a whole number, then 2 and 185,661,122.5 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:

1 371,322,245
-1 -371,322,245

Now, we try dividing 371,322,245 by 3:

371,322,245 ÷ 3 = 123,774,081.6667

If the quotient is a whole number, then 3 and 123,774,081.6667 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:

1 371,322,245
-1 -371,322,245

Let's try dividing by 4:

371,322,245 ÷ 4 = 92,830,561.25

If the quotient is a whole number, then 4 and 92,830,561.25 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:

1 371,322,245
-1 371,322,245
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,16589,153445,765624,0711,515,6013,120,3554,368,4977,578,00510,609,20721,842,48553,046,03574,264,449371,322,245
-1-5-7-17-35-49-85-119-245-595-833-4,165-89,153-445,765-624,071-1,515,601-3,120,355-4,368,497-7,578,005-10,609,207-21,842,485-53,046,035-74,264,449-371,322,245

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 371,322,245:


Ask a Question