Q: What are the factor combinations of the number 667,746,247?

 A:
Positive:   1 x 6677462477 x 9539232117 x 3927919159 x 11317733119 x 5611313413 x 16168191003 x 6657497021 x 95107
Negative: -1 x -667746247-7 x -95392321-17 x -39279191-59 x -11317733-119 x -5611313-413 x -1616819-1003 x -665749-7021 x -95107


How do I find the factor combinations of the number 667,746,247?

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 667,746,247, 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.

1 667,746,247
-1 -667,746,247

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 667,746,247.

Example:
1 x 667,746,247 = 667,746,247
and
-1 x -667,746,247 = 667,746,247
Notice both answers equal 667,746,247

With that explanation out of the way, let's continue. Next, we take the number 667,746,247 and divide it by 2:

667,746,247 ÷ 2 = 333,873,123.5

If the quotient is a whole number, then 2 and 333,873,123.5 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:

1 667,746,247
-1 -667,746,247

Now, we try dividing 667,746,247 by 3:

667,746,247 ÷ 3 = 222,582,082.3333

If the quotient is a whole number, then 3 and 222,582,082.3333 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:

1 667,746,247
-1 -667,746,247

Let's try dividing by 4:

667,746,247 ÷ 4 = 166,936,561.75

If the quotient is a whole number, then 4 and 166,936,561.75 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:

1 667,746,247
-1 667,746,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591194131,0037,02195,107665,7491,616,8195,611,31311,317,73339,279,19195,392,321667,746,247
-1-7-17-59-119-413-1,003-7,021-95,107-665,749-1,616,819-5,611,313-11,317,733-39,279,191-95,392,321-667,746,247

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