Q: What are the factor combinations of the number 450,251,011?

 A:
Positive:   1 x 4502510117 x 6432157397 x 4641763173 x 2602607679 x 6631091211 x 3718013833 x 11746716781 x 26831
Negative: -1 x -450251011-7 x -64321573-97 x -4641763-173 x -2602607-679 x -663109-1211 x -371801-3833 x -117467-16781 x -26831


How do I find the factor combinations of the number 450,251,011?

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 450,251,011, 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.

1 450,251,011
-1 -450,251,011

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 450,251,011.

Example:
1 x 450,251,011 = 450,251,011
and
-1 x -450,251,011 = 450,251,011
Notice both answers equal 450,251,011

With that explanation out of the way, let's continue. Next, we take the number 450,251,011 and divide it by 2:

450,251,011 ÷ 2 = 225,125,505.5

If the quotient is a whole number, then 2 and 225,125,505.5 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:

1 450,251,011
-1 -450,251,011

Now, we try dividing 450,251,011 by 3:

450,251,011 ÷ 3 = 150,083,670.3333

If the quotient is a whole number, then 3 and 150,083,670.3333 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:

1 450,251,011
-1 -450,251,011

Let's try dividing by 4:

450,251,011 ÷ 4 = 112,562,752.75

If the quotient is a whole number, then 4 and 112,562,752.75 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:

1 450,251,011
-1 450,251,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17971736791,2113,83316,78126,831117,467371,801663,1092,602,6074,641,76364,321,573450,251,011
-1-7-97-173-679-1,211-3,833-16,781-26,831-117,467-371,801-663,109-2,602,607-4,641,763-64,321,573-450,251,011

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