Q: What are the factor combinations of the number 167,060,465?

 A:
Positive:   1 x 1670604655 x 3341209311 x 1518731513 x 1285080555 x 303746365 x 2570161121 x 1380665143 x 1168255605 x 276133715 x 2336511331 x 1255151573 x 1062051931 x 865156655 x 251037865 x 212419655 x 17303
Negative: -1 x -167060465-5 x -33412093-11 x -15187315-13 x -12850805-55 x -3037463-65 x -2570161-121 x -1380665-143 x -1168255-605 x -276133-715 x -233651-1331 x -125515-1573 x -106205-1931 x -86515-6655 x -25103-7865 x -21241-9655 x -17303


How do I find the factor combinations of the number 167,060,465?

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 167,060,465, 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.

1 167,060,465
-1 -167,060,465

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 167,060,465.

Example:
1 x 167,060,465 = 167,060,465
and
-1 x -167,060,465 = 167,060,465
Notice both answers equal 167,060,465

With that explanation out of the way, let's continue. Next, we take the number 167,060,465 and divide it by 2:

167,060,465 ÷ 2 = 83,530,232.5

If the quotient is a whole number, then 2 and 83,530,232.5 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:

1 167,060,465
-1 -167,060,465

Now, we try dividing 167,060,465 by 3:

167,060,465 ÷ 3 = 55,686,821.6667

If the quotient is a whole number, then 3 and 55,686,821.6667 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:

1 167,060,465
-1 -167,060,465

Let's try dividing by 4:

167,060,465 ÷ 4 = 41,765,116.25

If the quotient is a whole number, then 4 and 41,765,116.25 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:

1 167,060,465
-1 167,060,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651211436057151,3311,5731,9316,6557,8659,65517,30321,24125,10386,515106,205125,515233,651276,1331,168,2551,380,6652,570,1613,037,46312,850,80515,187,31533,412,093167,060,465
-1-5-11-13-55-65-121-143-605-715-1,331-1,573-1,931-6,655-7,865-9,655-17,303-21,241-25,103-86,515-106,205-125,515-233,651-276,133-1,168,255-1,380,665-2,570,161-3,037,463-12,850,805-15,187,315-33,412,093-167,060,465

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