Q: What are the factor combinations of the number 21,413,245?

 A:
Positive:   1 x 214132455 x 42826497 x 305903535 x 61180749 x 43700571 x 301595245 x 87401355 x 60319497 x 430851231 x 173952485 x 86173479 x 6155
Negative: -1 x -21413245-5 x -4282649-7 x -3059035-35 x -611807-49 x -437005-71 x -301595-245 x -87401-355 x -60319-497 x -43085-1231 x -17395-2485 x -8617-3479 x -6155


How do I find the factor combinations of the number 21,413,245?

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 21,413,245, 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 21,413,245
-1 -21,413,245

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 21,413,245.

Example:
1 x 21,413,245 = 21,413,245
and
-1 x -21,413,245 = 21,413,245
Notice both answers equal 21,413,245

With that explanation out of the way, let's continue. Next, we take the number 21,413,245 and divide it by 2:

21,413,245 ÷ 2 = 10,706,622.5

If the quotient is a whole number, then 2 and 10,706,622.5 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 21,413,245
-1 -21,413,245

Now, we try dividing 21,413,245 by 3:

21,413,245 ÷ 3 = 7,137,748.3333

If the quotient is a whole number, then 3 and 7,137,748.3333 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 21,413,245
-1 -21,413,245

Let's try dividing by 4:

21,413,245 ÷ 4 = 5,353,311.25

If the quotient is a whole number, then 4 and 5,353,311.25 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 21,413,245
-1 21,413,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549712453554971,2312,4853,4796,1558,61717,39543,08560,31987,401301,595437,005611,8073,059,0354,282,64921,413,245
-1-5-7-35-49-71-245-355-497-1,231-2,485-3,479-6,155-8,617-17,395-43,085-60,319-87,401-301,595-437,005-611,807-3,059,035-4,282,649-21,413,245

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