Q: What are the factor combinations of the number 770,003,143?

 A:
Positive:   1 x 7700031437 x 11000044913 x 5923101191 x 8461573467 x 16488293269 x 2355476071 x 12683318119 x 42497
Negative: -1 x -770003143-7 x -110000449-13 x -59231011-91 x -8461573-467 x -1648829-3269 x -235547-6071 x -126833-18119 x -42497


How do I find the factor combinations of the number 770,003,143?

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 770,003,143, 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.

1 770,003,143
-1 -770,003,143

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 770,003,143.

Example:
1 x 770,003,143 = 770,003,143
and
-1 x -770,003,143 = 770,003,143
Notice both answers equal 770,003,143

With that explanation out of the way, let's continue. Next, we take the number 770,003,143 and divide it by 2:

770,003,143 ÷ 2 = 385,001,571.5

If the quotient is a whole number, then 2 and 385,001,571.5 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:

1 770,003,143
-1 -770,003,143

Now, we try dividing 770,003,143 by 3:

770,003,143 ÷ 3 = 256,667,714.3333

If the quotient is a whole number, then 3 and 256,667,714.3333 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:

1 770,003,143
-1 -770,003,143

Let's try dividing by 4:

770,003,143 ÷ 4 = 192,500,785.75

If the quotient is a whole number, then 4 and 192,500,785.75 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:

1 770,003,143
-1 770,003,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914673,2696,07118,11942,497126,833235,5471,648,8298,461,57359,231,011110,000,449770,003,143
-1-7-13-91-467-3,269-6,071-18,119-42,497-126,833-235,547-1,648,829-8,461,573-59,231,011-110,000,449-770,003,143

More Examples

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