Q: What are the factor combinations of the number 42,656,653?

 A:
Positive:   1 x 4265665313 x 328128119 x 2245087247 x 172699373 x 114361463 x 921314849 x 87976019 x 7087
Negative: -1 x -42656653-13 x -3281281-19 x -2245087-247 x -172699-373 x -114361-463 x -92131-4849 x -8797-6019 x -7087


How do I find the factor combinations of the number 42,656,653?

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 42,656,653, 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 42,656,653
-1 -42,656,653

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 42,656,653.

Example:
1 x 42,656,653 = 42,656,653
and
-1 x -42,656,653 = 42,656,653
Notice both answers equal 42,656,653

With that explanation out of the way, let's continue. Next, we take the number 42,656,653 and divide it by 2:

42,656,653 ÷ 2 = 21,328,326.5

If the quotient is a whole number, then 2 and 21,328,326.5 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 42,656,653
-1 -42,656,653

Now, we try dividing 42,656,653 by 3:

42,656,653 ÷ 3 = 14,218,884.3333

If the quotient is a whole number, then 3 and 14,218,884.3333 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 42,656,653
-1 -42,656,653

Let's try dividing by 4:

42,656,653 ÷ 4 = 10,664,163.25

If the quotient is a whole number, then 4 and 10,664,163.25 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 42,656,653
-1 42,656,653
Keep dividing by the next highest number until you cannot divide anymore.

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

113192473734634,8496,0197,0878,79792,131114,361172,6992,245,0873,281,28142,656,653
-1-13-19-247-373-463-4,849-6,019-7,087-8,797-92,131-114,361-172,699-2,245,087-3,281,281-42,656,653

More Examples

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