Q: What are the factor combinations of the number 162,100,745?

 A:
Positive:   1 x 1621007455 x 32420149191 x 848695269 x 602605631 x 256895955 x 1697391345 x 1205213155 x 51379
Negative: -1 x -162100745-5 x -32420149-191 x -848695-269 x -602605-631 x -256895-955 x -169739-1345 x -120521-3155 x -51379


How do I find the factor combinations of the number 162,100,745?

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 162,100,745, 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.

1 162,100,745
-1 -162,100,745

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 162,100,745.

Example:
1 x 162,100,745 = 162,100,745
and
-1 x -162,100,745 = 162,100,745
Notice both answers equal 162,100,745

With that explanation out of the way, let's continue. Next, we take the number 162,100,745 and divide it by 2:

162,100,745 ÷ 2 = 81,050,372.5

If the quotient is a whole number, then 2 and 81,050,372.5 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:

1 162,100,745
-1 -162,100,745

Now, we try dividing 162,100,745 by 3:

162,100,745 ÷ 3 = 54,033,581.6667

If the quotient is a whole number, then 3 and 54,033,581.6667 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:

1 162,100,745
-1 -162,100,745

Let's try dividing by 4:

162,100,745 ÷ 4 = 40,525,186.25

If the quotient is a whole number, then 4 and 40,525,186.25 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:

1 162,100,745
-1 162,100,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151912696319551,3453,15551,379120,521169,739256,895602,605848,69532,420,149162,100,745
-1-5-191-269-631-955-1,345-3,155-51,379-120,521-169,739-256,895-602,605-848,695-32,420,149-162,100,745

More Examples

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