Q: What are the factor combinations of the number 53,456,249?

 A:
Positive:   1 x 534562497 x 763660711 x 485965947 x 113736777 x 694237329 x 162481517 x 1033973619 x 14771
Negative: -1 x -53456249-7 x -7636607-11 x -4859659-47 x -1137367-77 x -694237-329 x -162481-517 x -103397-3619 x -14771


How do I find the factor combinations of the number 53,456,249?

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 53,456,249, 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 53,456,249
-1 -53,456,249

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 53,456,249.

Example:
1 x 53,456,249 = 53,456,249
and
-1 x -53,456,249 = 53,456,249
Notice both answers equal 53,456,249

With that explanation out of the way, let's continue. Next, we take the number 53,456,249 and divide it by 2:

53,456,249 ÷ 2 = 26,728,124.5

If the quotient is a whole number, then 2 and 26,728,124.5 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 53,456,249
-1 -53,456,249

Now, we try dividing 53,456,249 by 3:

53,456,249 ÷ 3 = 17,818,749.6667

If the quotient is a whole number, then 3 and 17,818,749.6667 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 53,456,249
-1 -53,456,249

Let's try dividing by 4:

53,456,249 ÷ 4 = 13,364,062.25

If the quotient is a whole number, then 4 and 13,364,062.25 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 53,456,249
-1 53,456,249
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295173,61914,771103,397162,481694,2371,137,3674,859,6597,636,60753,456,249
-1-7-11-47-77-329-517-3,619-14,771-103,397-162,481-694,237-1,137,367-4,859,659-7,636,607-53,456,249

More Examples

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