Q: What are the factor combinations of the number 47,321,575?

 A:
Positive:   1 x 473215755 x 94643157 x 676022525 x 189286335 x 1352045113 x 418775175 x 270409565 x 83755791 x 598252393 x 197752825 x 167513955 x 11965
Negative: -1 x -47321575-5 x -9464315-7 x -6760225-25 x -1892863-35 x -1352045-113 x -418775-175 x -270409-565 x -83755-791 x -59825-2393 x -19775-2825 x -16751-3955 x -11965


How do I find the factor combinations of the number 47,321,575?

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 47,321,575, 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 47,321,575
-1 -47,321,575

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 47,321,575.

Example:
1 x 47,321,575 = 47,321,575
and
-1 x -47,321,575 = 47,321,575
Notice both answers equal 47,321,575

With that explanation out of the way, let's continue. Next, we take the number 47,321,575 and divide it by 2:

47,321,575 ÷ 2 = 23,660,787.5

If the quotient is a whole number, then 2 and 23,660,787.5 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 47,321,575
-1 -47,321,575

Now, we try dividing 47,321,575 by 3:

47,321,575 ÷ 3 = 15,773,858.3333

If the quotient is a whole number, then 3 and 15,773,858.3333 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 47,321,575
-1 -47,321,575

Let's try dividing by 4:

47,321,575 ÷ 4 = 11,830,393.75

If the quotient is a whole number, then 4 and 11,830,393.75 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 47,321,575
-1 47,321,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351131755657912,3932,8253,95511,96516,75119,77559,82583,755270,409418,7751,352,0451,892,8636,760,2259,464,31547,321,575
-1-5-7-25-35-113-175-565-791-2,393-2,825-3,955-11,965-16,751-19,775-59,825-83,755-270,409-418,775-1,352,045-1,892,863-6,760,225-9,464,315-47,321,575

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