Q: What are the factor combinations of the number 670,311,271?

 A:
Positive:   1 x 6703112717 x 95758753137 x 4892783797 x 841043877 x 764323959 x 6989695579 x 1201496139 x 109189
Negative: -1 x -670311271-7 x -95758753-137 x -4892783-797 x -841043-877 x -764323-959 x -698969-5579 x -120149-6139 x -109189


How do I find the factor combinations of the number 670,311,271?

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 670,311,271, 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.

1 670,311,271
-1 -670,311,271

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 670,311,271.

Example:
1 x 670,311,271 = 670,311,271
and
-1 x -670,311,271 = 670,311,271
Notice both answers equal 670,311,271

With that explanation out of the way, let's continue. Next, we take the number 670,311,271 and divide it by 2:

670,311,271 ÷ 2 = 335,155,635.5

If the quotient is a whole number, then 2 and 335,155,635.5 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:

1 670,311,271
-1 -670,311,271

Now, we try dividing 670,311,271 by 3:

670,311,271 ÷ 3 = 223,437,090.3333

If the quotient is a whole number, then 3 and 223,437,090.3333 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:

1 670,311,271
-1 -670,311,271

Let's try dividing by 4:

670,311,271 ÷ 4 = 167,577,817.75

If the quotient is a whole number, then 4 and 167,577,817.75 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:

1 670,311,271
-1 670,311,271
Keep dividing by the next highest number until you cannot divide anymore.

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

171377978779595,5796,139109,189120,149698,969764,323841,0434,892,78395,758,753670,311,271
-1-7-137-797-877-959-5,579-6,139-109,189-120,149-698,969-764,323-841,043-4,892,783-95,758,753-670,311,271

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