Q: What are the factor combinations of the number 47,321,603?

 A:
Positive:   1 x 473216037 x 676022923 x 205746149 x 965747161 x 293923199 x 237797211 x 2242731127 x 419891393 x 339711477 x 320394577 x 103394853 x 9751
Negative: -1 x -47321603-7 x -6760229-23 x -2057461-49 x -965747-161 x -293923-199 x -237797-211 x -224273-1127 x -41989-1393 x -33971-1477 x -32039-4577 x -10339-4853 x -9751


How do I find the factor combinations of the number 47,321,603?

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 47,321,603, 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 47,321,603
-1 -47,321,603

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 47,321,603.

Example:
1 x 47,321,603 = 47,321,603
and
-1 x -47,321,603 = 47,321,603
Notice both answers equal 47,321,603

With that explanation out of the way, let's continue. Next, we take the number 47,321,603 and divide it by 2:

47,321,603 ÷ 2 = 23,660,801.5

If the quotient is a whole number, then 2 and 23,660,801.5 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 47,321,603
-1 -47,321,603

Now, we try dividing 47,321,603 by 3:

47,321,603 ÷ 3 = 15,773,867.6667

If the quotient is a whole number, then 3 and 15,773,867.6667 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 47,321,603
-1 -47,321,603

Let's try dividing by 4:

47,321,603 ÷ 4 = 11,830,400.75

If the quotient is a whole number, then 4 and 11,830,400.75 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 47,321,603
-1 47,321,603
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491611992111,1271,3931,4774,5774,8539,75110,33932,03933,97141,989224,273237,797293,923965,7472,057,4616,760,22947,321,603
-1-7-23-49-161-199-211-1,127-1,393-1,477-4,577-4,853-9,751-10,339-32,039-33,971-41,989-224,273-237,797-293,923-965,747-2,057,461-6,760,229-47,321,603

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