Q: What are the factor combinations of the number 14,210,245?

 A:
Positive:   1 x 142102455 x 28420497 x 203003531 x 45839535 x 40600749 x 290005155 x 91679217 x 65485245 x 580011085 x 130971519 x 93551871 x 7595
Negative: -1 x -14210245-5 x -2842049-7 x -2030035-31 x -458395-35 x -406007-49 x -290005-155 x -91679-217 x -65485-245 x -58001-1085 x -13097-1519 x -9355-1871 x -7595


How do I find the factor combinations of the number 14,210,245?

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 14,210,245, 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 14,210,245
-1 -14,210,245

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 14,210,245.

Example:
1 x 14,210,245 = 14,210,245
and
-1 x -14,210,245 = 14,210,245
Notice both answers equal 14,210,245

With that explanation out of the way, let's continue. Next, we take the number 14,210,245 and divide it by 2:

14,210,245 ÷ 2 = 7,105,122.5

If the quotient is a whole number, then 2 and 7,105,122.5 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 14,210,245
-1 -14,210,245

Now, we try dividing 14,210,245 by 3:

14,210,245 ÷ 3 = 4,736,748.3333

If the quotient is a whole number, then 3 and 4,736,748.3333 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 14,210,245
-1 -14,210,245

Let's try dividing by 4:

14,210,245 ÷ 4 = 3,552,561.25

If the quotient is a whole number, then 4 and 3,552,561.25 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 14,210,245
-1 14,210,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135491552172451,0851,5191,8717,5959,35513,09758,00165,48591,679290,005406,007458,3952,030,0352,842,04914,210,245
-1-5-7-31-35-49-155-217-245-1,085-1,519-1,871-7,595-9,355-13,097-58,001-65,485-91,679-290,005-406,007-458,395-2,030,035-2,842,049-14,210,245

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