Q: What are the factor combinations of the number 77,470,277?

 A:
Positive:   1 x 7747027719 x 40773831493 x 518892731 x 28367
Negative: -1 x -77470277-19 x -4077383-1493 x -51889-2731 x -28367


How do I find the factor combinations of the number 77,470,277?

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 77,470,277, 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 77,470,277
-1 -77,470,277

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 77,470,277.

Example:
1 x 77,470,277 = 77,470,277
and
-1 x -77,470,277 = 77,470,277
Notice both answers equal 77,470,277

With that explanation out of the way, let's continue. Next, we take the number 77,470,277 and divide it by 2:

77,470,277 ÷ 2 = 38,735,138.5

If the quotient is a whole number, then 2 and 38,735,138.5 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 77,470,277
-1 -77,470,277

Now, we try dividing 77,470,277 by 3:

77,470,277 ÷ 3 = 25,823,425.6667

If the quotient is a whole number, then 3 and 25,823,425.6667 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 77,470,277
-1 -77,470,277

Let's try dividing by 4:

77,470,277 ÷ 4 = 19,367,569.25

If the quotient is a whole number, then 4 and 19,367,569.25 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 77,470,277
-1 77,470,277
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,4932,73128,36751,8894,077,38377,470,277
-1-19-1,493-2,731-28,367-51,889-4,077,383-77,470,277

More Examples

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