Q: What are the factor combinations of the number 164,515,645?

 A:
Positive:   1 x 1645156455 x 329031297 x 2350223535 x 4700447211 x 7796951055 x 1559391477 x 1113857385 x 22277
Negative: -1 x -164515645-5 x -32903129-7 x -23502235-35 x -4700447-211 x -779695-1055 x -155939-1477 x -111385-7385 x -22277


How do I find the factor combinations of the number 164,515,645?

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 164,515,645, 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.

1 164,515,645
-1 -164,515,645

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 164,515,645.

Example:
1 x 164,515,645 = 164,515,645
and
-1 x -164,515,645 = 164,515,645
Notice both answers equal 164,515,645

With that explanation out of the way, let's continue. Next, we take the number 164,515,645 and divide it by 2:

164,515,645 ÷ 2 = 82,257,822.5

If the quotient is a whole number, then 2 and 82,257,822.5 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:

1 164,515,645
-1 -164,515,645

Now, we try dividing 164,515,645 by 3:

164,515,645 ÷ 3 = 54,838,548.3333

If the quotient is a whole number, then 3 and 54,838,548.3333 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:

1 164,515,645
-1 -164,515,645

Let's try dividing by 4:

164,515,645 ÷ 4 = 41,128,911.25

If the quotient is a whole number, then 4 and 41,128,911.25 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:

1 164,515,645
-1 164,515,645
Keep dividing by the next highest number until you cannot divide anymore.

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

157352111,0551,4777,38522,277111,385155,939779,6954,700,44723,502,23532,903,129164,515,645
-1-5-7-35-211-1,055-1,477-7,385-22,277-111,385-155,939-779,695-4,700,447-23,502,235-32,903,129-164,515,645

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