Q: What are the factor combinations of the number 165,565,631?

 A:
Positive:   1 x 1655656317 x 2365223311 x 1505142147 x 352267377 x 2150203121 x 1368311329 x 503239517 x 320243847 x 1954733619 x 457494159 x 398095687 x 29113
Negative: -1 x -165565631-7 x -23652233-11 x -15051421-47 x -3522673-77 x -2150203-121 x -1368311-329 x -503239-517 x -320243-847 x -195473-3619 x -45749-4159 x -39809-5687 x -29113


How do I find the factor combinations of the number 165,565,631?

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 165,565,631, 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.

1 165,565,631
-1 -165,565,631

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 165,565,631.

Example:
1 x 165,565,631 = 165,565,631
and
-1 x -165,565,631 = 165,565,631
Notice both answers equal 165,565,631

With that explanation out of the way, let's continue. Next, we take the number 165,565,631 and divide it by 2:

165,565,631 ÷ 2 = 82,782,815.5

If the quotient is a whole number, then 2 and 82,782,815.5 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:

1 165,565,631
-1 -165,565,631

Now, we try dividing 165,565,631 by 3:

165,565,631 ÷ 3 = 55,188,543.6667

If the quotient is a whole number, then 3 and 55,188,543.6667 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:

1 165,565,631
-1 -165,565,631

Let's try dividing by 4:

165,565,631 ÷ 4 = 41,391,407.75

If the quotient is a whole number, then 4 and 41,391,407.75 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:

1 165,565,631
-1 165,565,631
Keep dividing by the next highest number until you cannot divide anymore.

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

171147771213295178473,6194,1595,68729,11339,80945,749195,473320,243503,2391,368,3112,150,2033,522,67315,051,42123,652,233165,565,631
-1-7-11-47-77-121-329-517-847-3,619-4,159-5,687-29,113-39,809-45,749-195,473-320,243-503,239-1,368,311-2,150,203-3,522,673-15,051,421-23,652,233-165,565,631

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