Q: What are the factor combinations of the number 342,123,025?

 A:
Positive:   1 x 3421230255 x 6842460519 x 1800647525 x 1368492195 x 3601295475 x 720259653 x 5239251103 x 3101753265 x 1047855515 x 6203512407 x 2757516325 x 20957
Negative: -1 x -342123025-5 x -68424605-19 x -18006475-25 x -13684921-95 x -3601295-475 x -720259-653 x -523925-1103 x -310175-3265 x -104785-5515 x -62035-12407 x -27575-16325 x -20957


How do I find the factor combinations of the number 342,123,025?

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 342,123,025, 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.

1 342,123,025
-1 -342,123,025

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 342,123,025.

Example:
1 x 342,123,025 = 342,123,025
and
-1 x -342,123,025 = 342,123,025
Notice both answers equal 342,123,025

With that explanation out of the way, let's continue. Next, we take the number 342,123,025 and divide it by 2:

342,123,025 ÷ 2 = 171,061,512.5

If the quotient is a whole number, then 2 and 171,061,512.5 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:

1 342,123,025
-1 -342,123,025

Now, we try dividing 342,123,025 by 3:

342,123,025 ÷ 3 = 114,041,008.3333

If the quotient is a whole number, then 3 and 114,041,008.3333 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:

1 342,123,025
-1 -342,123,025

Let's try dividing by 4:

342,123,025 ÷ 4 = 85,530,756.25

If the quotient is a whole number, then 4 and 85,530,756.25 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:

1 342,123,025
-1 342,123,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151925954756531,1033,2655,51512,40716,32520,95727,57562,035104,785310,175523,925720,2593,601,29513,684,92118,006,47568,424,605342,123,025
-1-5-19-25-95-475-653-1,103-3,265-5,515-12,407-16,325-20,957-27,575-62,035-104,785-310,175-523,925-720,259-3,601,295-13,684,921-18,006,475-68,424,605-342,123,025

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