Q: What are the factor combinations of the number 47,423,785?

 A:
Positive:   1 x 474237855 x 948475797 x 488905277 x 171205353 x 134345485 x 977811385 x 342411765 x 26869
Negative: -1 x -47423785-5 x -9484757-97 x -488905-277 x -171205-353 x -134345-485 x -97781-1385 x -34241-1765 x -26869


How do I find the factor combinations of the number 47,423,785?

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 47,423,785, 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 47,423,785
-1 -47,423,785

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 47,423,785.

Example:
1 x 47,423,785 = 47,423,785
and
-1 x -47,423,785 = 47,423,785
Notice both answers equal 47,423,785

With that explanation out of the way, let's continue. Next, we take the number 47,423,785 and divide it by 2:

47,423,785 ÷ 2 = 23,711,892.5

If the quotient is a whole number, then 2 and 23,711,892.5 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 47,423,785
-1 -47,423,785

Now, we try dividing 47,423,785 by 3:

47,423,785 ÷ 3 = 15,807,928.3333

If the quotient is a whole number, then 3 and 15,807,928.3333 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 47,423,785
-1 -47,423,785

Let's try dividing by 4:

47,423,785 ÷ 4 = 11,855,946.25

If the quotient is a whole number, then 4 and 11,855,946.25 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 47,423,785
-1 47,423,785
Keep dividing by the next highest number until you cannot divide anymore.

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

15972773534851,3851,76526,86934,24197,781134,345171,205488,9059,484,75747,423,785
-1-5-97-277-353-485-1,385-1,765-26,869-34,241-97,781-134,345-171,205-488,905-9,484,757-47,423,785

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