Q: What are the factor combinations of the number 48,719,297?

 A:
Positive:   1 x 4871929711 x 442902717 x 286584161 x 798677187 x 260531671 x 726071037 x 469814271 x 11407
Negative: -1 x -48719297-11 x -4429027-17 x -2865841-61 x -798677-187 x -260531-671 x -72607-1037 x -46981-4271 x -11407


How do I find the factor combinations of the number 48,719,297?

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 48,719,297, 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 48,719,297
-1 -48,719,297

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 48,719,297.

Example:
1 x 48,719,297 = 48,719,297
and
-1 x -48,719,297 = 48,719,297
Notice both answers equal 48,719,297

With that explanation out of the way, let's continue. Next, we take the number 48,719,297 and divide it by 2:

48,719,297 ÷ 2 = 24,359,648.5

If the quotient is a whole number, then 2 and 24,359,648.5 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 48,719,297
-1 -48,719,297

Now, we try dividing 48,719,297 by 3:

48,719,297 ÷ 3 = 16,239,765.6667

If the quotient is a whole number, then 3 and 16,239,765.6667 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 48,719,297
-1 -48,719,297

Let's try dividing by 4:

48,719,297 ÷ 4 = 12,179,824.25

If the quotient is a whole number, then 4 and 12,179,824.25 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 48,719,297
-1 48,719,297
Keep dividing by the next highest number until you cannot divide anymore.

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

11117611876711,0374,27111,40746,98172,607260,531798,6772,865,8414,429,02748,719,297
-1-11-17-61-187-671-1,037-4,271-11,407-46,981-72,607-260,531-798,677-2,865,841-4,429,027-48,719,297

More Examples

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