Q: What are the factor combinations of the number 32,698,565?

 A:
Positive:   1 x 326985655 x 653971317 x 192344537 x 88374585 x 384689185 x 176749281 x 116365629 x 519851369 x 238851405 x 232733145 x 103974777 x 6845
Negative: -1 x -32698565-5 x -6539713-17 x -1923445-37 x -883745-85 x -384689-185 x -176749-281 x -116365-629 x -51985-1369 x -23885-1405 x -23273-3145 x -10397-4777 x -6845


How do I find the factor combinations of the number 32,698,565?

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 32,698,565, 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 32,698,565
-1 -32,698,565

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 32,698,565.

Example:
1 x 32,698,565 = 32,698,565
and
-1 x -32,698,565 = 32,698,565
Notice both answers equal 32,698,565

With that explanation out of the way, let's continue. Next, we take the number 32,698,565 and divide it by 2:

32,698,565 ÷ 2 = 16,349,282.5

If the quotient is a whole number, then 2 and 16,349,282.5 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 32,698,565
-1 -32,698,565

Now, we try dividing 32,698,565 by 3:

32,698,565 ÷ 3 = 10,899,521.6667

If the quotient is a whole number, then 3 and 10,899,521.6667 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 32,698,565
-1 -32,698,565

Let's try dividing by 4:

32,698,565 ÷ 4 = 8,174,641.25

If the quotient is a whole number, then 4 and 8,174,641.25 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 32,698,565
-1 32,698,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851852816291,3691,4053,1454,7776,84510,39723,27323,88551,985116,365176,749384,689883,7451,923,4456,539,71332,698,565
-1-5-17-37-85-185-281-629-1,369-1,405-3,145-4,777-6,845-10,397-23,273-23,885-51,985-116,365-176,749-384,689-883,745-1,923,445-6,539,713-32,698,565

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