Q: What are the factor combinations of the number 131,012,245?

 A:
Positive:   1 x 1310122455 x 262024497 x 1871603513 x 1007786535 x 374320765 x 201557391 x 1439695455 x 287939
Negative: -1 x -131012245-5 x -26202449-7 x -18716035-13 x -10077865-35 x -3743207-65 x -2015573-91 x -1439695-455 x -287939


How do I find the factor combinations of the number 131,012,245?

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 131,012,245, 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.

1 131,012,245
-1 -131,012,245

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 131,012,245.

Example:
1 x 131,012,245 = 131,012,245
and
-1 x -131,012,245 = 131,012,245
Notice both answers equal 131,012,245

With that explanation out of the way, let's continue. Next, we take the number 131,012,245 and divide it by 2:

131,012,245 ÷ 2 = 65,506,122.5

If the quotient is a whole number, then 2 and 65,506,122.5 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:

1 131,012,245
-1 -131,012,245

Now, we try dividing 131,012,245 by 3:

131,012,245 ÷ 3 = 43,670,748.3333

If the quotient is a whole number, then 3 and 43,670,748.3333 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:

1 131,012,245
-1 -131,012,245

Let's try dividing by 4:

131,012,245 ÷ 4 = 32,753,061.25

If the quotient is a whole number, then 4 and 32,753,061.25 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:

1 131,012,245
-1 131,012,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455287,9391,439,6952,015,5733,743,20710,077,86518,716,03526,202,449131,012,245
-1-5-7-13-35-65-91-455-287,939-1,439,695-2,015,573-3,743,207-10,077,865-18,716,035-26,202,449-131,012,245

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