Q: What are the factor combinations of the number 770,024,627?

 A:
Positive:   1 x 77002462724953 x 30859
Negative: -1 x -770024627-24953 x -30859


How do I find the factor combinations of the number 770,024,627?

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 770,024,627, 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.

1 770,024,627
-1 -770,024,627

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 770,024,627.

Example:
1 x 770,024,627 = 770,024,627
and
-1 x -770,024,627 = 770,024,627
Notice both answers equal 770,024,627

With that explanation out of the way, let's continue. Next, we take the number 770,024,627 and divide it by 2:

770,024,627 ÷ 2 = 385,012,313.5

If the quotient is a whole number, then 2 and 385,012,313.5 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:

1 770,024,627
-1 -770,024,627

Now, we try dividing 770,024,627 by 3:

770,024,627 ÷ 3 = 256,674,875.6667

If the quotient is a whole number, then 3 and 256,674,875.6667 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:

1 770,024,627
-1 -770,024,627

Let's try dividing by 4:

770,024,627 ÷ 4 = 192,506,156.75

If the quotient is a whole number, then 4 and 192,506,156.75 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:

1 770,024,627
-1 770,024,627
Keep dividing by the next highest number until you cannot divide anymore.

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

124,95330,859770,024,627
-1-24,953-30,859-770,024,627

More Examples

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