Q: What are the factor combinations of the number 7,366,355?

 A:
Positive:   1 x 73663555 x 147327117 x 43331579 x 9324585 x 86663395 x 186491097 x 67151343 x 5485
Negative: -1 x -7366355-5 x -1473271-17 x -433315-79 x -93245-85 x -86663-395 x -18649-1097 x -6715-1343 x -5485


How do I find the factor combinations of the number 7,366,355?

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 7,366,355, 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 7,366,355
-1 -7,366,355

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 7,366,355.

Example:
1 x 7,366,355 = 7,366,355
and
-1 x -7,366,355 = 7,366,355
Notice both answers equal 7,366,355

With that explanation out of the way, let's continue. Next, we take the number 7,366,355 and divide it by 2:

7,366,355 ÷ 2 = 3,683,177.5

If the quotient is a whole number, then 2 and 3,683,177.5 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 7,366,355
-1 -7,366,355

Now, we try dividing 7,366,355 by 3:

7,366,355 ÷ 3 = 2,455,451.6667

If the quotient is a whole number, then 3 and 2,455,451.6667 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 7,366,355
-1 -7,366,355

Let's try dividing by 4:

7,366,355 ÷ 4 = 1,841,588.75

If the quotient is a whole number, then 4 and 1,841,588.75 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 7,366,355
-1 7,366,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151779853951,0971,3435,4856,71518,64986,66393,245433,3151,473,2717,366,355
-1-5-17-79-85-395-1,097-1,343-5,485-6,715-18,649-86,663-93,245-433,315-1,473,271-7,366,355

More Examples

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