Q: What are the factor combinations of the number 7,315,055?

 A:
Positive:   1 x 73150555 x 146301111 x 66500555 x 133001107 x 68365113 x 64735121 x 60455535 x 13673565 x 12947605 x 120911177 x 62151243 x 5885
Negative: -1 x -7315055-5 x -1463011-11 x -665005-55 x -133001-107 x -68365-113 x -64735-121 x -60455-535 x -13673-565 x -12947-605 x -12091-1177 x -6215-1243 x -5885


How do I find the factor combinations of the number 7,315,055?

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 7,315,055, 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 7,315,055
-1 -7,315,055

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 7,315,055.

Example:
1 x 7,315,055 = 7,315,055
and
-1 x -7,315,055 = 7,315,055
Notice both answers equal 7,315,055

With that explanation out of the way, let's continue. Next, we take the number 7,315,055 and divide it by 2:

7,315,055 ÷ 2 = 3,657,527.5

If the quotient is a whole number, then 2 and 3,657,527.5 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 7,315,055
-1 -7,315,055

Now, we try dividing 7,315,055 by 3:

7,315,055 ÷ 3 = 2,438,351.6667

If the quotient is a whole number, then 3 and 2,438,351.6667 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 7,315,055
-1 -7,315,055

Let's try dividing by 4:

7,315,055 ÷ 4 = 1,828,763.75

If the quotient is a whole number, then 4 and 1,828,763.75 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 7,315,055
-1 7,315,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551071131215355656051,1771,2435,8856,21512,09112,94713,67360,45564,73568,365133,001665,0051,463,0117,315,055
-1-5-11-55-107-113-121-535-565-605-1,177-1,243-5,885-6,215-12,091-12,947-13,673-60,455-64,735-68,365-133,001-665,005-1,463,011-7,315,055

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