Q: What are the factor combinations of the number 47,421,485?

 A:
Positive:   1 x 474214855 x 948429753 x 894745149 x 318265265 x 178949745 x 636531201 x 394856005 x 7897
Negative: -1 x -47421485-5 x -9484297-53 x -894745-149 x -318265-265 x -178949-745 x -63653-1201 x -39485-6005 x -7897


How do I find the factor combinations of the number 47,421,485?

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 47,421,485, 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 47,421,485
-1 -47,421,485

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 47,421,485.

Example:
1 x 47,421,485 = 47,421,485
and
-1 x -47,421,485 = 47,421,485
Notice both answers equal 47,421,485

With that explanation out of the way, let's continue. Next, we take the number 47,421,485 and divide it by 2:

47,421,485 ÷ 2 = 23,710,742.5

If the quotient is a whole number, then 2 and 23,710,742.5 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 47,421,485
-1 -47,421,485

Now, we try dividing 47,421,485 by 3:

47,421,485 ÷ 3 = 15,807,161.6667

If the quotient is a whole number, then 3 and 15,807,161.6667 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 47,421,485
-1 -47,421,485

Let's try dividing by 4:

47,421,485 ÷ 4 = 11,855,371.25

If the quotient is a whole number, then 4 and 11,855,371.25 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 47,421,485
-1 47,421,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15531492657451,2016,0057,89739,48563,653178,949318,265894,7459,484,29747,421,485
-1-5-53-149-265-745-1,201-6,005-7,897-39,485-63,653-178,949-318,265-894,745-9,484,297-47,421,485

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