Q: What are the factor combinations of the number 162,054,613?

 A:
Positive:   1 x 1620546137 x 2315065949 x 330723761 x 2656633427 x 3795192989 x 54217
Negative: -1 x -162054613-7 x -23150659-49 x -3307237-61 x -2656633-427 x -379519-2989 x -54217


How do I find the factor combinations of the number 162,054,613?

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 162,054,613, 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.

1 162,054,613
-1 -162,054,613

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 162,054,613.

Example:
1 x 162,054,613 = 162,054,613
and
-1 x -162,054,613 = 162,054,613
Notice both answers equal 162,054,613

With that explanation out of the way, let's continue. Next, we take the number 162,054,613 and divide it by 2:

162,054,613 ÷ 2 = 81,027,306.5

If the quotient is a whole number, then 2 and 81,027,306.5 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:

1 162,054,613
-1 -162,054,613

Now, we try dividing 162,054,613 by 3:

162,054,613 ÷ 3 = 54,018,204.3333

If the quotient is a whole number, then 3 and 54,018,204.3333 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:

1 162,054,613
-1 -162,054,613

Let's try dividing by 4:

162,054,613 ÷ 4 = 40,513,653.25

If the quotient is a whole number, then 4 and 40,513,653.25 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:

1 162,054,613
-1 162,054,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1749614272,98954,217379,5192,656,6333,307,23723,150,659162,054,613
-1-7-49-61-427-2,989-54,217-379,519-2,656,633-3,307,237-23,150,659-162,054,613

More Examples

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