Q: What are the factor combinations of the number 67,491,737?

 A:
Positive:   1 x 6749173737 x 182410153 x 1273429127 x 531431271 x 2490471961 x 344174699 x 143636731 x 10027
Negative: -1 x -67491737-37 x -1824101-53 x -1273429-127 x -531431-271 x -249047-1961 x -34417-4699 x -14363-6731 x -10027


How do I find the factor combinations of the number 67,491,737?

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 67,491,737, 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 67,491,737
-1 -67,491,737

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 67,491,737.

Example:
1 x 67,491,737 = 67,491,737
and
-1 x -67,491,737 = 67,491,737
Notice both answers equal 67,491,737

With that explanation out of the way, let's continue. Next, we take the number 67,491,737 and divide it by 2:

67,491,737 ÷ 2 = 33,745,868.5

If the quotient is a whole number, then 2 and 33,745,868.5 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 67,491,737
-1 -67,491,737

Now, we try dividing 67,491,737 by 3:

67,491,737 ÷ 3 = 22,497,245.6667

If the quotient is a whole number, then 3 and 22,497,245.6667 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 67,491,737
-1 -67,491,737

Let's try dividing by 4:

67,491,737 ÷ 4 = 16,872,934.25

If the quotient is a whole number, then 4 and 16,872,934.25 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 67,491,737
-1 67,491,737
Keep dividing by the next highest number until you cannot divide anymore.

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

137531272711,9614,6996,73110,02714,36334,417249,047531,4311,273,4291,824,10167,491,737
-1-37-53-127-271-1,961-4,699-6,731-10,027-14,363-34,417-249,047-531,431-1,273,429-1,824,101-67,491,737

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