Q: What are the factor combinations of the number 164,307,155?

 A:
Positive:   1 x 1643071555 x 3286143119 x 864774553 x 310013595 x 1729549265 x 6200271007 x 1631655035 x 32633
Negative: -1 x -164307155-5 x -32861431-19 x -8647745-53 x -3100135-95 x -1729549-265 x -620027-1007 x -163165-5035 x -32633


How do I find the factor combinations of the number 164,307,155?

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 164,307,155, 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.

1 164,307,155
-1 -164,307,155

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 164,307,155.

Example:
1 x 164,307,155 = 164,307,155
and
-1 x -164,307,155 = 164,307,155
Notice both answers equal 164,307,155

With that explanation out of the way, let's continue. Next, we take the number 164,307,155 and divide it by 2:

164,307,155 ÷ 2 = 82,153,577.5

If the quotient is a whole number, then 2 and 82,153,577.5 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:

1 164,307,155
-1 -164,307,155

Now, we try dividing 164,307,155 by 3:

164,307,155 ÷ 3 = 54,769,051.6667

If the quotient is a whole number, then 3 and 54,769,051.6667 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:

1 164,307,155
-1 -164,307,155

Let's try dividing by 4:

164,307,155 ÷ 4 = 41,076,788.75

If the quotient is a whole number, then 4 and 41,076,788.75 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:

1 164,307,155
-1 164,307,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952651,0075,03532,633163,165620,0271,729,5493,100,1358,647,74532,861,431164,307,155
-1-5-19-53-95-265-1,007-5,035-32,633-163,165-620,027-1,729,549-3,100,135-8,647,745-32,861,431-164,307,155

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