Q: What are the factor combinations of the number 47,062,675?

 A:
Positive:   1 x 470626755 x 941253511 x 427842525 x 188250753 x 88797555 x 855685265 x 177595275 x 171137583 x 807251325 x 355192915 x 161453229 x 14575
Negative: -1 x -47062675-5 x -9412535-11 x -4278425-25 x -1882507-53 x -887975-55 x -855685-265 x -177595-275 x -171137-583 x -80725-1325 x -35519-2915 x -16145-3229 x -14575


How do I find the factor combinations of the number 47,062,675?

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 47,062,675, 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 47,062,675
-1 -47,062,675

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 47,062,675.

Example:
1 x 47,062,675 = 47,062,675
and
-1 x -47,062,675 = 47,062,675
Notice both answers equal 47,062,675

With that explanation out of the way, let's continue. Next, we take the number 47,062,675 and divide it by 2:

47,062,675 ÷ 2 = 23,531,337.5

If the quotient is a whole number, then 2 and 23,531,337.5 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 47,062,675
-1 -47,062,675

Now, we try dividing 47,062,675 by 3:

47,062,675 ÷ 3 = 15,687,558.3333

If the quotient is a whole number, then 3 and 15,687,558.3333 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 47,062,675
-1 -47,062,675

Let's try dividing by 4:

47,062,675 ÷ 4 = 11,765,668.75

If the quotient is a whole number, then 4 and 11,765,668.75 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 47,062,675
-1 47,062,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15112553552652755831,3252,9153,22914,57516,14535,51980,725171,137177,595855,685887,9751,882,5074,278,4259,412,53547,062,675
-1-5-11-25-53-55-265-275-583-1,325-2,915-3,229-14,575-16,145-35,519-80,725-171,137-177,595-855,685-887,975-1,882,507-4,278,425-9,412,535-47,062,675

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