Q: What are the factor combinations of the number 47,487,715?

 A:
Positive:   1 x 474877155 x 949754311 x 431706517 x 279339555 x 86341385 x 558679187 x 253945935 x 50789
Negative: -1 x -47487715-5 x -9497543-11 x -4317065-17 x -2793395-55 x -863413-85 x -558679-187 x -253945-935 x -50789


How do I find the factor combinations of the number 47,487,715?

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 47,487,715, 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 47,487,715
-1 -47,487,715

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 47,487,715.

Example:
1 x 47,487,715 = 47,487,715
and
-1 x -47,487,715 = 47,487,715
Notice both answers equal 47,487,715

With that explanation out of the way, let's continue. Next, we take the number 47,487,715 and divide it by 2:

47,487,715 ÷ 2 = 23,743,857.5

If the quotient is a whole number, then 2 and 23,743,857.5 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 47,487,715
-1 -47,487,715

Now, we try dividing 47,487,715 by 3:

47,487,715 ÷ 3 = 15,829,238.3333

If the quotient is a whole number, then 3 and 15,829,238.3333 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 47,487,715
-1 -47,487,715

Let's try dividing by 4:

47,487,715 ÷ 4 = 11,871,928.75

If the quotient is a whole number, then 4 and 11,871,928.75 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 47,487,715
-1 47,487,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793550,789253,945558,679863,4132,793,3954,317,0659,497,54347,487,715
-1-5-11-17-55-85-187-935-50,789-253,945-558,679-863,413-2,793,395-4,317,065-9,497,543-47,487,715

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