Q: What are the factor combinations of the number 7,270,835?

 A:
Positive:   1 x 72708355 x 145416711 x 66098513 x 55929555 x 13219765 x 111859143 x 50845715 x 10169
Negative: -1 x -7270835-5 x -1454167-11 x -660985-13 x -559295-55 x -132197-65 x -111859-143 x -50845-715 x -10169


How do I find the factor combinations of the number 7,270,835?

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 7,270,835, 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 7,270,835
-1 -7,270,835

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 7,270,835.

Example:
1 x 7,270,835 = 7,270,835
and
-1 x -7,270,835 = 7,270,835
Notice both answers equal 7,270,835

With that explanation out of the way, let's continue. Next, we take the number 7,270,835 and divide it by 2:

7,270,835 ÷ 2 = 3,635,417.5

If the quotient is a whole number, then 2 and 3,635,417.5 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 7,270,835
-1 -7,270,835

Now, we try dividing 7,270,835 by 3:

7,270,835 ÷ 3 = 2,423,611.6667

If the quotient is a whole number, then 3 and 2,423,611.6667 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 7,270,835
-1 -7,270,835

Let's try dividing by 4:

7,270,835 ÷ 4 = 1,817,708.75

If the quotient is a whole number, then 4 and 1,817,708.75 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 7,270,835
-1 7,270,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371510,16950,845111,859132,197559,295660,9851,454,1677,270,835
-1-5-11-13-55-65-143-715-10,169-50,845-111,859-132,197-559,295-660,985-1,454,167-7,270,835

More Examples

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