Q: What are the factor combinations of the number 5,224,525?

 A:
Positive:   1 x 52245255 x 104490517 x 30732519 x 27497525 x 20898185 x 6146595 x 54995323 x 16175425 x 12293475 x 10999647 x 80751615 x 3235
Negative: -1 x -5224525-5 x -1044905-17 x -307325-19 x -274975-25 x -208981-85 x -61465-95 x -54995-323 x -16175-425 x -12293-475 x -10999-647 x -8075-1615 x -3235


How do I find the factor combinations of the number 5,224,525?

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 5,224,525, 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 5,224,525
-1 -5,224,525

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 5,224,525.

Example:
1 x 5,224,525 = 5,224,525
and
-1 x -5,224,525 = 5,224,525
Notice both answers equal 5,224,525

With that explanation out of the way, let's continue. Next, we take the number 5,224,525 and divide it by 2:

5,224,525 ÷ 2 = 2,612,262.5

If the quotient is a whole number, then 2 and 2,612,262.5 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 5,224,525
-1 -5,224,525

Now, we try dividing 5,224,525 by 3:

5,224,525 ÷ 3 = 1,741,508.3333

If the quotient is a whole number, then 3 and 1,741,508.3333 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 5,224,525
-1 -5,224,525

Let's try dividing by 4:

5,224,525 ÷ 4 = 1,306,131.25

If the quotient is a whole number, then 4 and 1,306,131.25 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 5,224,525
-1 5,224,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1517192585953234254756471,6153,2358,07510,99912,29316,17554,99561,465208,981274,975307,3251,044,9055,224,525
-1-5-17-19-25-85-95-323-425-475-647-1,615-3,235-8,075-10,999-12,293-16,175-54,995-61,465-208,981-274,975-307,325-1,044,905-5,224,525

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