Q: What are the factor combinations of the number 46,552,715?

 A:
Positive:   1 x 465527155 x 931054311 x 423206517 x 273839555 x 84641385 x 547679187 x 248945935 x 49789
Negative: -1 x -46552715-5 x -9310543-11 x -4232065-17 x -2738395-55 x -846413-85 x -547679-187 x -248945-935 x -49789


How do I find the factor combinations of the number 46,552,715?

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 46,552,715, 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 46,552,715
-1 -46,552,715

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 46,552,715.

Example:
1 x 46,552,715 = 46,552,715
and
-1 x -46,552,715 = 46,552,715
Notice both answers equal 46,552,715

With that explanation out of the way, let's continue. Next, we take the number 46,552,715 and divide it by 2:

46,552,715 ÷ 2 = 23,276,357.5

If the quotient is a whole number, then 2 and 23,276,357.5 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 46,552,715
-1 -46,552,715

Now, we try dividing 46,552,715 by 3:

46,552,715 ÷ 3 = 15,517,571.6667

If the quotient is a whole number, then 3 and 15,517,571.6667 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 46,552,715
-1 -46,552,715

Let's try dividing by 4:

46,552,715 ÷ 4 = 11,638,178.75

If the quotient is a whole number, then 4 and 11,638,178.75 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 46,552,715
-1 46,552,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793549,789248,945547,679846,4132,738,3954,232,0659,310,54346,552,715
-1-5-11-17-55-85-187-935-49,789-248,945-547,679-846,413-2,738,395-4,232,065-9,310,543-46,552,715

More Examples

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