Q: What are the factor combinations of the number 60,532,043?

 A:
Positive:   1 x 6053204311 x 550291313 x 465631119 x 3185897143 x 423301209 x 289627247 x 2450692717 x 22279
Negative: -1 x -60532043-11 x -5502913-13 x -4656311-19 x -3185897-143 x -423301-209 x -289627-247 x -245069-2717 x -22279


How do I find the factor combinations of the number 60,532,043?

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 60,532,043, 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 60,532,043
-1 -60,532,043

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 60,532,043.

Example:
1 x 60,532,043 = 60,532,043
and
-1 x -60,532,043 = 60,532,043
Notice both answers equal 60,532,043

With that explanation out of the way, let's continue. Next, we take the number 60,532,043 and divide it by 2:

60,532,043 ÷ 2 = 30,266,021.5

If the quotient is a whole number, then 2 and 30,266,021.5 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 60,532,043
-1 -60,532,043

Now, we try dividing 60,532,043 by 3:

60,532,043 ÷ 3 = 20,177,347.6667

If the quotient is a whole number, then 3 and 20,177,347.6667 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 60,532,043
-1 -60,532,043

Let's try dividing by 4:

60,532,043 ÷ 4 = 15,133,010.75

If the quotient is a whole number, then 4 and 15,133,010.75 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 60,532,043
-1 60,532,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092472,71722,279245,069289,627423,3013,185,8974,656,3115,502,91360,532,043
-1-11-13-19-143-209-247-2,717-22,279-245,069-289,627-423,301-3,185,897-4,656,311-5,502,913-60,532,043

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