Q: What are the factor combinations of the number 53,016,251?

 A:
Positive:   1 x 5301625117 x 311860319 x 2790329151 x 351101323 x 1641371087 x 487732567 x 206532869 x 18479
Negative: -1 x -53016251-17 x -3118603-19 x -2790329-151 x -351101-323 x -164137-1087 x -48773-2567 x -20653-2869 x -18479


How do I find the factor combinations of the number 53,016,251?

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 53,016,251, 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 53,016,251
-1 -53,016,251

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 53,016,251.

Example:
1 x 53,016,251 = 53,016,251
and
-1 x -53,016,251 = 53,016,251
Notice both answers equal 53,016,251

With that explanation out of the way, let's continue. Next, we take the number 53,016,251 and divide it by 2:

53,016,251 ÷ 2 = 26,508,125.5

If the quotient is a whole number, then 2 and 26,508,125.5 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 53,016,251
-1 -53,016,251

Now, we try dividing 53,016,251 by 3:

53,016,251 ÷ 3 = 17,672,083.6667

If the quotient is a whole number, then 3 and 17,672,083.6667 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 53,016,251
-1 -53,016,251

Let's try dividing by 4:

53,016,251 ÷ 4 = 13,254,062.75

If the quotient is a whole number, then 4 and 13,254,062.75 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 53,016,251
-1 53,016,251
Keep dividing by the next highest number until you cannot divide anymore.

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

117191513231,0872,5672,86918,47920,65348,773164,137351,1012,790,3293,118,60353,016,251
-1-17-19-151-323-1,087-2,567-2,869-18,479-20,653-48,773-164,137-351,101-2,790,329-3,118,603-53,016,251

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