Q: What are the factor combinations of the number 162,258,307?

 A:
Positive:   1 x 16225830723 x 705470943 x 3773449359 x 451973457 x 355051989 x 1640638257 x 1965110511 x 15437
Negative: -1 x -162258307-23 x -7054709-43 x -3773449-359 x -451973-457 x -355051-989 x -164063-8257 x -19651-10511 x -15437


How do I find the factor combinations of the number 162,258,307?

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 162,258,307, 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.

1 162,258,307
-1 -162,258,307

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 162,258,307.

Example:
1 x 162,258,307 = 162,258,307
and
-1 x -162,258,307 = 162,258,307
Notice both answers equal 162,258,307

With that explanation out of the way, let's continue. Next, we take the number 162,258,307 and divide it by 2:

162,258,307 ÷ 2 = 81,129,153.5

If the quotient is a whole number, then 2 and 81,129,153.5 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:

1 162,258,307
-1 -162,258,307

Now, we try dividing 162,258,307 by 3:

162,258,307 ÷ 3 = 54,086,102.3333

If the quotient is a whole number, then 3 and 54,086,102.3333 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:

1 162,258,307
-1 -162,258,307

Let's try dividing by 4:

162,258,307 ÷ 4 = 40,564,576.75

If the quotient is a whole number, then 4 and 40,564,576.75 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:

1 162,258,307
-1 162,258,307
Keep dividing by the next highest number until you cannot divide anymore.

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

123433594579898,25710,51115,43719,651164,063355,051451,9733,773,4497,054,709162,258,307
-1-23-43-359-457-989-8,257-10,511-15,437-19,651-164,063-355,051-451,973-3,773,449-7,054,709-162,258,307

More Examples

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