Q: What are the factor combinations of the number 162,653,267?

 A:
Positive:   1 x 1626532677 x 2323618161 x 2666447313 x 519659427 x 3809211217 x 1336512191 x 742378519 x 19093
Negative: -1 x -162653267-7 x -23236181-61 x -2666447-313 x -519659-427 x -380921-1217 x -133651-2191 x -74237-8519 x -19093


How do I find the factor combinations of the number 162,653,267?

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 162,653,267, 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.

1 162,653,267
-1 -162,653,267

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 162,653,267.

Example:
1 x 162,653,267 = 162,653,267
and
-1 x -162,653,267 = 162,653,267
Notice both answers equal 162,653,267

With that explanation out of the way, let's continue. Next, we take the number 162,653,267 and divide it by 2:

162,653,267 ÷ 2 = 81,326,633.5

If the quotient is a whole number, then 2 and 81,326,633.5 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:

1 162,653,267
-1 -162,653,267

Now, we try dividing 162,653,267 by 3:

162,653,267 ÷ 3 = 54,217,755.6667

If the quotient is a whole number, then 3 and 54,217,755.6667 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:

1 162,653,267
-1 -162,653,267

Let's try dividing by 4:

162,653,267 ÷ 4 = 40,663,316.75

If the quotient is a whole number, then 4 and 40,663,316.75 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:

1 162,653,267
-1 162,653,267
Keep dividing by the next highest number until you cannot divide anymore.

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

17613134271,2172,1918,51919,09374,237133,651380,921519,6592,666,44723,236,181162,653,267
-1-7-61-313-427-1,217-2,191-8,519-19,093-74,237-133,651-380,921-519,659-2,666,447-23,236,181-162,653,267

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