Q: What are the factor combinations of the number 47,414,675?

 A:
Positive:   1 x 474146755 x 94829357 x 677352511 x 431042525 x 189658735 x 135470555 x 86208577 x 615775175 x 270941275 x 172417385 x 1231551925 x 24631
Negative: -1 x -47414675-5 x -9482935-7 x -6773525-11 x -4310425-25 x -1896587-35 x -1354705-55 x -862085-77 x -615775-175 x -270941-275 x -172417-385 x -123155-1925 x -24631


How do I find the factor combinations of the number 47,414,675?

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 47,414,675, 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 47,414,675
-1 -47,414,675

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 47,414,675.

Example:
1 x 47,414,675 = 47,414,675
and
-1 x -47,414,675 = 47,414,675
Notice both answers equal 47,414,675

With that explanation out of the way, let's continue. Next, we take the number 47,414,675 and divide it by 2:

47,414,675 ÷ 2 = 23,707,337.5

If the quotient is a whole number, then 2 and 23,707,337.5 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 47,414,675
-1 -47,414,675

Now, we try dividing 47,414,675 by 3:

47,414,675 ÷ 3 = 15,804,891.6667

If the quotient is a whole number, then 3 and 15,804,891.6667 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 47,414,675
-1 -47,414,675

Let's try dividing by 4:

47,414,675 ÷ 4 = 11,853,668.75

If the quotient is a whole number, then 4 and 11,853,668.75 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 47,414,675
-1 47,414,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,92524,631123,155172,417270,941615,775862,0851,354,7051,896,5874,310,4256,773,5259,482,93547,414,675
-1-5-7-11-25-35-55-77-175-275-385-1,925-24,631-123,155-172,417-270,941-615,775-862,085-1,354,705-1,896,587-4,310,425-6,773,525-9,482,935-47,414,675

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