Q: What are the factor combinations of the number 162,604,645?

 A:
Positive:   1 x 1626046455 x 325209297 x 2322923535 x 464584767 x 2426935335 x 485387469 x 3467052345 x 69341
Negative: -1 x -162604645-5 x -32520929-7 x -23229235-35 x -4645847-67 x -2426935-335 x -485387-469 x -346705-2345 x -69341


How do I find the factor combinations of the number 162,604,645?

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 162,604,645, 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.

1 162,604,645
-1 -162,604,645

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 162,604,645.

Example:
1 x 162,604,645 = 162,604,645
and
-1 x -162,604,645 = 162,604,645
Notice both answers equal 162,604,645

With that explanation out of the way, let's continue. Next, we take the number 162,604,645 and divide it by 2:

162,604,645 ÷ 2 = 81,302,322.5

If the quotient is a whole number, then 2 and 81,302,322.5 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:

1 162,604,645
-1 -162,604,645

Now, we try dividing 162,604,645 by 3:

162,604,645 ÷ 3 = 54,201,548.3333

If the quotient is a whole number, then 3 and 54,201,548.3333 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:

1 162,604,645
-1 -162,604,645

Let's try dividing by 4:

162,604,645 ÷ 4 = 40,651,161.25

If the quotient is a whole number, then 4 and 40,651,161.25 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:

1 162,604,645
-1 162,604,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,34569,341346,705485,3872,426,9354,645,84723,229,23532,520,929162,604,645
-1-5-7-35-67-335-469-2,345-69,341-346,705-485,387-2,426,935-4,645,847-23,229,235-32,520,929-162,604,645

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