Q: What are the factor combinations of the number 46,522,073?

 A:
Positive:   1 x 4652207313 x 357862179 x 58888797 x 479609467 x 996191027 x 452991261 x 368936071 x 7663
Negative: -1 x -46522073-13 x -3578621-79 x -588887-97 x -479609-467 x -99619-1027 x -45299-1261 x -36893-6071 x -7663


How do I find the factor combinations of the number 46,522,073?

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 46,522,073, 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 46,522,073
-1 -46,522,073

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 46,522,073.

Example:
1 x 46,522,073 = 46,522,073
and
-1 x -46,522,073 = 46,522,073
Notice both answers equal 46,522,073

With that explanation out of the way, let's continue. Next, we take the number 46,522,073 and divide it by 2:

46,522,073 ÷ 2 = 23,261,036.5

If the quotient is a whole number, then 2 and 23,261,036.5 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 46,522,073
-1 -46,522,073

Now, we try dividing 46,522,073 by 3:

46,522,073 ÷ 3 = 15,507,357.6667

If the quotient is a whole number, then 3 and 15,507,357.6667 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 46,522,073
-1 -46,522,073

Let's try dividing by 4:

46,522,073 ÷ 4 = 11,630,518.25

If the quotient is a whole number, then 4 and 11,630,518.25 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 46,522,073
-1 46,522,073
Keep dividing by the next highest number until you cannot divide anymore.

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

11379974671,0271,2616,0717,66336,89345,29999,619479,609588,8873,578,62146,522,073
-1-13-79-97-467-1,027-1,261-6,071-7,663-36,893-45,299-99,619-479,609-588,887-3,578,621-46,522,073

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