Q: What are the factor combinations of the number 164,320,057?

 A:
Positive:   1 x 16432005711 x 1493818731 x 530064771 x 2314367121 x 1358017341 x 481877617 x 266321781 x 2103972201 x 746573751 x 438076787 x 242118591 x 19127
Negative: -1 x -164320057-11 x -14938187-31 x -5300647-71 x -2314367-121 x -1358017-341 x -481877-617 x -266321-781 x -210397-2201 x -74657-3751 x -43807-6787 x -24211-8591 x -19127


How do I find the factor combinations of the number 164,320,057?

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 164,320,057, 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.

1 164,320,057
-1 -164,320,057

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 164,320,057.

Example:
1 x 164,320,057 = 164,320,057
and
-1 x -164,320,057 = 164,320,057
Notice both answers equal 164,320,057

With that explanation out of the way, let's continue. Next, we take the number 164,320,057 and divide it by 2:

164,320,057 ÷ 2 = 82,160,028.5

If the quotient is a whole number, then 2 and 82,160,028.5 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:

1 164,320,057
-1 -164,320,057

Now, we try dividing 164,320,057 by 3:

164,320,057 ÷ 3 = 54,773,352.3333

If the quotient is a whole number, then 3 and 54,773,352.3333 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:

1 164,320,057
-1 -164,320,057

Let's try dividing by 4:

164,320,057 ÷ 4 = 41,080,014.25

If the quotient is a whole number, then 4 and 41,080,014.25 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:

1 164,320,057
-1 164,320,057
Keep dividing by the next highest number until you cannot divide anymore.

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

11131711213416177812,2013,7516,7878,59119,12724,21143,80774,657210,397266,321481,8771,358,0172,314,3675,300,64714,938,187164,320,057
-1-11-31-71-121-341-617-781-2,201-3,751-6,787-8,591-19,127-24,211-43,807-74,657-210,397-266,321-481,877-1,358,017-2,314,367-5,300,647-14,938,187-164,320,057

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