Q: What are the factor combinations of the number 48,053,095?

 A:
Positive:   1 x 480530955 x 961061923 x 2089265115 x 417853383 x 1254651091 x 440451915 x 250935455 x 8809
Negative: -1 x -48053095-5 x -9610619-23 x -2089265-115 x -417853-383 x -125465-1091 x -44045-1915 x -25093-5455 x -8809


How do I find the factor combinations of the number 48,053,095?

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 48,053,095, 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 48,053,095
-1 -48,053,095

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 48,053,095.

Example:
1 x 48,053,095 = 48,053,095
and
-1 x -48,053,095 = 48,053,095
Notice both answers equal 48,053,095

With that explanation out of the way, let's continue. Next, we take the number 48,053,095 and divide it by 2:

48,053,095 ÷ 2 = 24,026,547.5

If the quotient is a whole number, then 2 and 24,026,547.5 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 48,053,095
-1 -48,053,095

Now, we try dividing 48,053,095 by 3:

48,053,095 ÷ 3 = 16,017,698.3333

If the quotient is a whole number, then 3 and 16,017,698.3333 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 48,053,095
-1 -48,053,095

Let's try dividing by 4:

48,053,095 ÷ 4 = 12,013,273.75

If the quotient is a whole number, then 4 and 12,013,273.75 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 48,053,095
-1 48,053,095
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153831,0911,9155,4558,80925,09344,045125,465417,8532,089,2659,610,61948,053,095
-1-5-23-115-383-1,091-1,915-5,455-8,809-25,093-44,045-125,465-417,853-2,089,265-9,610,619-48,053,095

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