Q: What are the factor combinations of the number 164,050,117?

 A:
Positive:   1 x 1640501177 x 2343573111 x 1491364743 x 381511977 x 2130521301 x 545017473 x 3468293311 x 49547
Negative: -1 x -164050117-7 x -23435731-11 x -14913647-43 x -3815119-77 x -2130521-301 x -545017-473 x -346829-3311 x -49547


How do I find the factor combinations of the number 164,050,117?

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 164,050,117, 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.

1 164,050,117
-1 -164,050,117

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 164,050,117.

Example:
1 x 164,050,117 = 164,050,117
and
-1 x -164,050,117 = 164,050,117
Notice both answers equal 164,050,117

With that explanation out of the way, let's continue. Next, we take the number 164,050,117 and divide it by 2:

164,050,117 ÷ 2 = 82,025,058.5

If the quotient is a whole number, then 2 and 82,025,058.5 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:

1 164,050,117
-1 -164,050,117

Now, we try dividing 164,050,117 by 3:

164,050,117 ÷ 3 = 54,683,372.3333

If the quotient is a whole number, then 3 and 54,683,372.3333 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:

1 164,050,117
-1 -164,050,117

Let's try dividing by 4:

164,050,117 ÷ 4 = 41,012,529.25

If the quotient is a whole number, then 4 and 41,012,529.25 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:

1 164,050,117
-1 164,050,117
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,31149,547346,829545,0172,130,5213,815,11914,913,64723,435,731164,050,117
-1-7-11-43-77-301-473-3,311-49,547-346,829-545,017-2,130,521-3,815,119-14,913,647-23,435,731-164,050,117

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