Q: What are the factor combinations of the number 7,340,435?

 A:
Positive:   1 x 73404355 x 146808741 x 17903561 x 120335205 x 35807305 x 24067587 x 125052501 x 2935
Negative: -1 x -7340435-5 x -1468087-41 x -179035-61 x -120335-205 x -35807-305 x -24067-587 x -12505-2501 x -2935


How do I find the factor combinations of the number 7,340,435?

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 7,340,435, 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 7,340,435
-1 -7,340,435

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 7,340,435.

Example:
1 x 7,340,435 = 7,340,435
and
-1 x -7,340,435 = 7,340,435
Notice both answers equal 7,340,435

With that explanation out of the way, let's continue. Next, we take the number 7,340,435 and divide it by 2:

7,340,435 ÷ 2 = 3,670,217.5

If the quotient is a whole number, then 2 and 3,670,217.5 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 7,340,435
-1 -7,340,435

Now, we try dividing 7,340,435 by 3:

7,340,435 ÷ 3 = 2,446,811.6667

If the quotient is a whole number, then 3 and 2,446,811.6667 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 7,340,435
-1 -7,340,435

Let's try dividing by 4:

7,340,435 ÷ 4 = 1,835,108.75

If the quotient is a whole number, then 4 and 1,835,108.75 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 7,340,435
-1 7,340,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1541612053055872,5012,93512,50524,06735,807120,335179,0351,468,0877,340,435
-1-5-41-61-205-305-587-2,501-2,935-12,505-24,067-35,807-120,335-179,035-1,468,087-7,340,435

More Examples

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