Q: What are the factor combinations of the number 67,252,969?

 A:
Positive:   1 x 672529697 x 960756717 x 3956057119 x 565151283 x 2376431981 x 339491997 x 336774811 x 13979
Negative: -1 x -67252969-7 x -9607567-17 x -3956057-119 x -565151-283 x -237643-1981 x -33949-1997 x -33677-4811 x -13979


How do I find the factor combinations of the number 67,252,969?

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 67,252,969, 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 67,252,969
-1 -67,252,969

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 67,252,969.

Example:
1 x 67,252,969 = 67,252,969
and
-1 x -67,252,969 = 67,252,969
Notice both answers equal 67,252,969

With that explanation out of the way, let's continue. Next, we take the number 67,252,969 and divide it by 2:

67,252,969 ÷ 2 = 33,626,484.5

If the quotient is a whole number, then 2 and 33,626,484.5 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 67,252,969
-1 -67,252,969

Now, we try dividing 67,252,969 by 3:

67,252,969 ÷ 3 = 22,417,656.3333

If the quotient is a whole number, then 3 and 22,417,656.3333 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 67,252,969
-1 -67,252,969

Let's try dividing by 4:

67,252,969 ÷ 4 = 16,813,242.25

If the quotient is a whole number, then 4 and 16,813,242.25 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 67,252,969
-1 67,252,969
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192831,9811,9974,81113,97933,67733,949237,643565,1513,956,0579,607,56767,252,969
-1-7-17-119-283-1,981-1,997-4,811-13,979-33,677-33,949-237,643-565,151-3,956,057-9,607,567-67,252,969

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