Q: What are the factor combinations of the number 731,171,771?

 A:
Positive:   1 x 73117177111 x 6647016123 x 31790077253 x 2890007401 x 18233714411 x 1657617207 x 1014539223 x 79277
Negative: -1 x -731171771-11 x -66470161-23 x -31790077-253 x -2890007-401 x -1823371-4411 x -165761-7207 x -101453-9223 x -79277


How do I find the factor combinations of the number 731,171,771?

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 731,171,771, 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.

1 731,171,771
-1 -731,171,771

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 731,171,771.

Example:
1 x 731,171,771 = 731,171,771
and
-1 x -731,171,771 = 731,171,771
Notice both answers equal 731,171,771

With that explanation out of the way, let's continue. Next, we take the number 731,171,771 and divide it by 2:

731,171,771 ÷ 2 = 365,585,885.5

If the quotient is a whole number, then 2 and 365,585,885.5 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:

1 731,171,771
-1 -731,171,771

Now, we try dividing 731,171,771 by 3:

731,171,771 ÷ 3 = 243,723,923.6667

If the quotient is a whole number, then 3 and 243,723,923.6667 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:

1 731,171,771
-1 -731,171,771

Let's try dividing by 4:

731,171,771 ÷ 4 = 182,792,942.75

If the quotient is a whole number, then 4 and 182,792,942.75 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:

1 731,171,771
-1 731,171,771
Keep dividing by the next highest number until you cannot divide anymore.

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

111232534014,4117,2079,22379,277101,453165,7611,823,3712,890,00731,790,07766,470,161731,171,771
-1-11-23-253-401-4,411-7,207-9,223-79,277-101,453-165,761-1,823,371-2,890,007-31,790,077-66,470,161-731,171,771

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