Q: What are the factor combinations of the number 7,315,855?

 A:
Positive:   1 x 73158555 x 146317119 x 38504553 x 13803595 x 77009265 x 276071007 x 72651453 x 5035
Negative: -1 x -7315855-5 x -1463171-19 x -385045-53 x -138035-95 x -77009-265 x -27607-1007 x -7265-1453 x -5035


How do I find the factor combinations of the number 7,315,855?

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 7,315,855, 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 7,315,855
-1 -7,315,855

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 7,315,855.

Example:
1 x 7,315,855 = 7,315,855
and
-1 x -7,315,855 = 7,315,855
Notice both answers equal 7,315,855

With that explanation out of the way, let's continue. Next, we take the number 7,315,855 and divide it by 2:

7,315,855 ÷ 2 = 3,657,927.5

If the quotient is a whole number, then 2 and 3,657,927.5 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 7,315,855
-1 -7,315,855

Now, we try dividing 7,315,855 by 3:

7,315,855 ÷ 3 = 2,438,618.3333

If the quotient is a whole number, then 3 and 2,438,618.3333 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 7,315,855
-1 -7,315,855

Let's try dividing by 4:

7,315,855 ÷ 4 = 1,828,963.75

If the quotient is a whole number, then 4 and 1,828,963.75 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 7,315,855
-1 7,315,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952651,0071,4535,0357,26527,60777,009138,035385,0451,463,1717,315,855
-1-5-19-53-95-265-1,007-1,453-5,035-7,265-27,607-77,009-138,035-385,045-1,463,171-7,315,855

More Examples

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