Q: What are the factor combinations of the number 47,023,025?

 A:
Positive:   1 x 470230255 x 94046057 x 671757525 x 188092135 x 1343515167 x 281575175 x 268703835 x 563151169 x 402251609 x 292254175 x 112635845 x 8045
Negative: -1 x -47023025-5 x -9404605-7 x -6717575-25 x -1880921-35 x -1343515-167 x -281575-175 x -268703-835 x -56315-1169 x -40225-1609 x -29225-4175 x -11263-5845 x -8045


How do I find the factor combinations of the number 47,023,025?

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 47,023,025, 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 47,023,025
-1 -47,023,025

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 47,023,025.

Example:
1 x 47,023,025 = 47,023,025
and
-1 x -47,023,025 = 47,023,025
Notice both answers equal 47,023,025

With that explanation out of the way, let's continue. Next, we take the number 47,023,025 and divide it by 2:

47,023,025 ÷ 2 = 23,511,512.5

If the quotient is a whole number, then 2 and 23,511,512.5 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 47,023,025
-1 -47,023,025

Now, we try dividing 47,023,025 by 3:

47,023,025 ÷ 3 = 15,674,341.6667

If the quotient is a whole number, then 3 and 15,674,341.6667 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 47,023,025
-1 -47,023,025

Let's try dividing by 4:

47,023,025 ÷ 4 = 11,755,756.25

If the quotient is a whole number, then 4 and 11,755,756.25 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 47,023,025
-1 47,023,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351671758351,1691,6094,1755,8458,04511,26329,22540,22556,315268,703281,5751,343,5151,880,9216,717,5759,404,60547,023,025
-1-5-7-25-35-167-175-835-1,169-1,609-4,175-5,845-8,045-11,263-29,225-40,225-56,315-268,703-281,575-1,343,515-1,880,921-6,717,575-9,404,605-47,023,025

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