Q: What are the factor combinations of the number 7,238,015?

 A:
Positive:   1 x 72380155 x 144760383 x 87205107 x 67645163 x 44405415 x 17441535 x 13529815 x 8881
Negative: -1 x -7238015-5 x -1447603-83 x -87205-107 x -67645-163 x -44405-415 x -17441-535 x -13529-815 x -8881


How do I find the factor combinations of the number 7,238,015?

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 7,238,015, 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 7,238,015
-1 -7,238,015

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 7,238,015.

Example:
1 x 7,238,015 = 7,238,015
and
-1 x -7,238,015 = 7,238,015
Notice both answers equal 7,238,015

With that explanation out of the way, let's continue. Next, we take the number 7,238,015 and divide it by 2:

7,238,015 ÷ 2 = 3,619,007.5

If the quotient is a whole number, then 2 and 3,619,007.5 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 7,238,015
-1 -7,238,015

Now, we try dividing 7,238,015 by 3:

7,238,015 ÷ 3 = 2,412,671.6667

If the quotient is a whole number, then 3 and 2,412,671.6667 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 7,238,015
-1 -7,238,015

Let's try dividing by 4:

7,238,015 ÷ 4 = 1,809,503.75

If the quotient is a whole number, then 4 and 1,809,503.75 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 7,238,015
-1 7,238,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15831071634155358158,88113,52917,44144,40567,64587,2051,447,6037,238,015
-1-5-83-107-163-415-535-815-8,881-13,529-17,441-44,405-67,645-87,205-1,447,603-7,238,015

More Examples

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