Q: What are the factor combinations of the number 42,525,245?

 A:
Positive:   1 x 425252455 x 85050497 x 607503517 x 250148535 x 121500785 x 500297119 x 357355595 x 71471
Negative: -1 x -42525245-5 x -8505049-7 x -6075035-17 x -2501485-35 x -1215007-85 x -500297-119 x -357355-595 x -71471


How do I find the factor combinations of the number 42,525,245?

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 42,525,245, 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 42,525,245
-1 -42,525,245

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 42,525,245.

Example:
1 x 42,525,245 = 42,525,245
and
-1 x -42,525,245 = 42,525,245
Notice both answers equal 42,525,245

With that explanation out of the way, let's continue. Next, we take the number 42,525,245 and divide it by 2:

42,525,245 ÷ 2 = 21,262,622.5

If the quotient is a whole number, then 2 and 21,262,622.5 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 42,525,245
-1 -42,525,245

Now, we try dividing 42,525,245 by 3:

42,525,245 ÷ 3 = 14,175,081.6667

If the quotient is a whole number, then 3 and 14,175,081.6667 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 42,525,245
-1 -42,525,245

Let's try dividing by 4:

42,525,245 ÷ 4 = 10,631,311.25

If the quotient is a whole number, then 4 and 10,631,311.25 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 42,525,245
-1 42,525,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959571,471357,355500,2971,215,0072,501,4856,075,0358,505,04942,525,245
-1-5-7-17-35-85-119-595-71,471-357,355-500,297-1,215,007-2,501,485-6,075,035-8,505,049-42,525,245

More Examples

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