Q: What are the factor combinations of the number 5,351,525?

 A:
Positive:   1 x 53515255 x 107030523 x 23267525 x 21406141 x 130525115 x 46535205 x 26105227 x 23575575 x 9307943 x 56751025 x 52211135 x 4715
Negative: -1 x -5351525-5 x -1070305-23 x -232675-25 x -214061-41 x -130525-115 x -46535-205 x -26105-227 x -23575-575 x -9307-943 x -5675-1025 x -5221-1135 x -4715


How do I find the factor combinations of the number 5,351,525?

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 5,351,525, 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 5,351,525
-1 -5,351,525

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 5,351,525.

Example:
1 x 5,351,525 = 5,351,525
and
-1 x -5,351,525 = 5,351,525
Notice both answers equal 5,351,525

With that explanation out of the way, let's continue. Next, we take the number 5,351,525 and divide it by 2:

5,351,525 ÷ 2 = 2,675,762.5

If the quotient is a whole number, then 2 and 2,675,762.5 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 5,351,525
-1 -5,351,525

Now, we try dividing 5,351,525 by 3:

5,351,525 ÷ 3 = 1,783,841.6667

If the quotient is a whole number, then 3 and 1,783,841.6667 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 5,351,525
-1 -5,351,525

Let's try dividing by 4:

5,351,525 ÷ 4 = 1,337,881.25

If the quotient is a whole number, then 4 and 1,337,881.25 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 5,351,525
-1 5,351,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152325411152052275759431,0251,1354,7155,2215,6759,30723,57526,10546,535130,525214,061232,6751,070,3055,351,525
-1-5-23-25-41-115-205-227-575-943-1,025-1,135-4,715-5,221-5,675-9,307-23,575-26,105-46,535-130,525-214,061-232,675-1,070,305-5,351,525

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