Q: What are the factor combinations of the number 7,003,115?

 A:
Positive:   1 x 70031155 x 14006237 x 100044519 x 36858535 x 20008995 x 73717133 x 52655665 x 10531
Negative: -1 x -7003115-5 x -1400623-7 x -1000445-19 x -368585-35 x -200089-95 x -73717-133 x -52655-665 x -10531


How do I find the factor combinations of the number 7,003,115?

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 7,003,115, 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 7,003,115
-1 -7,003,115

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 7,003,115.

Example:
1 x 7,003,115 = 7,003,115
and
-1 x -7,003,115 = 7,003,115
Notice both answers equal 7,003,115

With that explanation out of the way, let's continue. Next, we take the number 7,003,115 and divide it by 2:

7,003,115 ÷ 2 = 3,501,557.5

If the quotient is a whole number, then 2 and 3,501,557.5 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 7,003,115
-1 -7,003,115

Now, we try dividing 7,003,115 by 3:

7,003,115 ÷ 3 = 2,334,371.6667

If the quotient is a whole number, then 3 and 2,334,371.6667 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 7,003,115
-1 -7,003,115

Let's try dividing by 4:

7,003,115 ÷ 4 = 1,750,778.75

If the quotient is a whole number, then 4 and 1,750,778.75 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 7,003,115
-1 7,003,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366510,53152,65573,717200,089368,5851,000,4451,400,6237,003,115
-1-5-7-19-35-95-133-665-10,531-52,655-73,717-200,089-368,585-1,000,445-1,400,623-7,003,115

More Examples

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