Q: What are the factor combinations of the number 667,053,277?

 A:
Positive:   1 x 66705327711 x 60641207121 x 5512837167 x 39943311331 x 5011671837 x 3631213001 x 22227720207 x 33011
Negative: -1 x -667053277-11 x -60641207-121 x -5512837-167 x -3994331-1331 x -501167-1837 x -363121-3001 x -222277-20207 x -33011


How do I find the factor combinations of the number 667,053,277?

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 667,053,277, 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.

1 667,053,277
-1 -667,053,277

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 667,053,277.

Example:
1 x 667,053,277 = 667,053,277
and
-1 x -667,053,277 = 667,053,277
Notice both answers equal 667,053,277

With that explanation out of the way, let's continue. Next, we take the number 667,053,277 and divide it by 2:

667,053,277 ÷ 2 = 333,526,638.5

If the quotient is a whole number, then 2 and 333,526,638.5 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:

1 667,053,277
-1 -667,053,277

Now, we try dividing 667,053,277 by 3:

667,053,277 ÷ 3 = 222,351,092.3333

If the quotient is a whole number, then 3 and 222,351,092.3333 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:

1 667,053,277
-1 -667,053,277

Let's try dividing by 4:

667,053,277 ÷ 4 = 166,763,319.25

If the quotient is a whole number, then 4 and 166,763,319.25 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:

1 667,053,277
-1 667,053,277
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211671,3311,8373,00120,20733,011222,277363,121501,1673,994,3315,512,83760,641,207667,053,277
-1-11-121-167-1,331-1,837-3,001-20,207-33,011-222,277-363,121-501,167-3,994,331-5,512,837-60,641,207-667,053,277

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