Q: What are the factor combinations of the number 47,623,615?

 A:
Positive:   1 x 476236155 x 952472313 x 366335561 x 78071565 x 732671305 x 156143793 x 600553965 x 12011
Negative: -1 x -47623615-5 x -9524723-13 x -3663355-61 x -780715-65 x -732671-305 x -156143-793 x -60055-3965 x -12011


How do I find the factor combinations of the number 47,623,615?

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 47,623,615, 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 47,623,615
-1 -47,623,615

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 47,623,615.

Example:
1 x 47,623,615 = 47,623,615
and
-1 x -47,623,615 = 47,623,615
Notice both answers equal 47,623,615

With that explanation out of the way, let's continue. Next, we take the number 47,623,615 and divide it by 2:

47,623,615 ÷ 2 = 23,811,807.5

If the quotient is a whole number, then 2 and 23,811,807.5 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 47,623,615
-1 -47,623,615

Now, we try dividing 47,623,615 by 3:

47,623,615 ÷ 3 = 15,874,538.3333

If the quotient is a whole number, then 3 and 15,874,538.3333 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 47,623,615
-1 -47,623,615

Let's try dividing by 4:

47,623,615 ÷ 4 = 11,905,903.75

If the quotient is a whole number, then 4 and 11,905,903.75 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 47,623,615
-1 47,623,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151361653057933,96512,01160,055156,143732,671780,7153,663,3559,524,72347,623,615
-1-5-13-61-65-305-793-3,965-12,011-60,055-156,143-732,671-780,715-3,663,355-9,524,723-47,623,615

More Examples

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