Q: What are the factor combinations of the number 67,360,043?

 A:
Positive:   1 x 6736004361 x 110426371 x 948733103 x 653981151 x 4460934331 x 155536283 x 107217313 x 9211
Negative: -1 x -67360043-61 x -1104263-71 x -948733-103 x -653981-151 x -446093-4331 x -15553-6283 x -10721-7313 x -9211


How do I find the factor combinations of the number 67,360,043?

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 67,360,043, 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 67,360,043
-1 -67,360,043

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 67,360,043.

Example:
1 x 67,360,043 = 67,360,043
and
-1 x -67,360,043 = 67,360,043
Notice both answers equal 67,360,043

With that explanation out of the way, let's continue. Next, we take the number 67,360,043 and divide it by 2:

67,360,043 ÷ 2 = 33,680,021.5

If the quotient is a whole number, then 2 and 33,680,021.5 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 67,360,043
-1 -67,360,043

Now, we try dividing 67,360,043 by 3:

67,360,043 ÷ 3 = 22,453,347.6667

If the quotient is a whole number, then 3 and 22,453,347.6667 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 67,360,043
-1 -67,360,043

Let's try dividing by 4:

67,360,043 ÷ 4 = 16,840,010.75

If the quotient is a whole number, then 4 and 16,840,010.75 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 67,360,043
-1 67,360,043
Keep dividing by the next highest number until you cannot divide anymore.

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

161711031514,3316,2837,3139,21110,72115,553446,093653,981948,7331,104,26367,360,043
-1-61-71-103-151-4,331-6,283-7,313-9,211-10,721-15,553-446,093-653,981-948,733-1,104,263-67,360,043

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