Q: What are the factor combinations of the number 656,010,631?

 A:
Positive:   1 x 65601063147 x 1395767373 x 8986447263 x 2494337727 x 9023533431 x 19120112361 x 5307119199 x 34169
Negative: -1 x -656010631-47 x -13957673-73 x -8986447-263 x -2494337-727 x -902353-3431 x -191201-12361 x -53071-19199 x -34169


How do I find the factor combinations of the number 656,010,631?

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 656,010,631, 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.

1 656,010,631
-1 -656,010,631

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 656,010,631.

Example:
1 x 656,010,631 = 656,010,631
and
-1 x -656,010,631 = 656,010,631
Notice both answers equal 656,010,631

With that explanation out of the way, let's continue. Next, we take the number 656,010,631 and divide it by 2:

656,010,631 ÷ 2 = 328,005,315.5

If the quotient is a whole number, then 2 and 328,005,315.5 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:

1 656,010,631
-1 -656,010,631

Now, we try dividing 656,010,631 by 3:

656,010,631 ÷ 3 = 218,670,210.3333

If the quotient is a whole number, then 3 and 218,670,210.3333 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:

1 656,010,631
-1 -656,010,631

Let's try dividing by 4:

656,010,631 ÷ 4 = 164,002,657.75

If the quotient is a whole number, then 4 and 164,002,657.75 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:

1 656,010,631
-1 656,010,631
Keep dividing by the next highest number until you cannot divide anymore.

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

147732637273,43112,36119,19934,16953,071191,201902,3532,494,3378,986,44713,957,673656,010,631
-1-47-73-263-727-3,431-12,361-19,199-34,169-53,071-191,201-902,353-2,494,337-8,986,447-13,957,673-656,010,631

More Examples

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