Q: What are the factor combinations of the number 7,532,693?

 A:
Positive:   1 x 75326937 x 107609989 x 84637107 x 70399113 x 66661623 x 12091749 x 10057791 x 9523
Negative: -1 x -7532693-7 x -1076099-89 x -84637-107 x -70399-113 x -66661-623 x -12091-749 x -10057-791 x -9523


How do I find the factor combinations of the number 7,532,693?

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 7,532,693, 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 7,532,693
-1 -7,532,693

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 7,532,693.

Example:
1 x 7,532,693 = 7,532,693
and
-1 x -7,532,693 = 7,532,693
Notice both answers equal 7,532,693

With that explanation out of the way, let's continue. Next, we take the number 7,532,693 and divide it by 2:

7,532,693 ÷ 2 = 3,766,346.5

If the quotient is a whole number, then 2 and 3,766,346.5 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 7,532,693
-1 -7,532,693

Now, we try dividing 7,532,693 by 3:

7,532,693 ÷ 3 = 2,510,897.6667

If the quotient is a whole number, then 3 and 2,510,897.6667 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 7,532,693
-1 -7,532,693

Let's try dividing by 4:

7,532,693 ÷ 4 = 1,883,173.25

If the quotient is a whole number, then 4 and 1,883,173.25 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 7,532,693
-1 7,532,693
Keep dividing by the next highest number until you cannot divide anymore.

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

17891071136237497919,52310,05712,09166,66170,39984,6371,076,0997,532,693
-1-7-89-107-113-623-749-791-9,523-10,057-12,091-66,661-70,399-84,637-1,076,099-7,532,693

More Examples

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