Q: What are the factor combinations of the number 53,833,849?

 A:
Positive:   1 x 5383384917 x 316669753 x 1015733149 x 361301401 x 134249901 x 597492533 x 212536817 x 7897
Negative: -1 x -53833849-17 x -3166697-53 x -1015733-149 x -361301-401 x -134249-901 x -59749-2533 x -21253-6817 x -7897


How do I find the factor combinations of the number 53,833,849?

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 53,833,849, 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 53,833,849
-1 -53,833,849

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 53,833,849.

Example:
1 x 53,833,849 = 53,833,849
and
-1 x -53,833,849 = 53,833,849
Notice both answers equal 53,833,849

With that explanation out of the way, let's continue. Next, we take the number 53,833,849 and divide it by 2:

53,833,849 ÷ 2 = 26,916,924.5

If the quotient is a whole number, then 2 and 26,916,924.5 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 53,833,849
-1 -53,833,849

Now, we try dividing 53,833,849 by 3:

53,833,849 ÷ 3 = 17,944,616.3333

If the quotient is a whole number, then 3 and 17,944,616.3333 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 53,833,849
-1 -53,833,849

Let's try dividing by 4:

53,833,849 ÷ 4 = 13,458,462.25

If the quotient is a whole number, then 4 and 13,458,462.25 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 53,833,849
-1 53,833,849
Keep dividing by the next highest number until you cannot divide anymore.

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

117531494019012,5336,8177,89721,25359,749134,249361,3011,015,7333,166,69753,833,849
-1-17-53-149-401-901-2,533-6,817-7,897-21,253-59,749-134,249-361,301-1,015,733-3,166,697-53,833,849

More Examples

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