Q: What are the factor combinations of the number 73,465,343?

 A:
Positive:   1 x 734653437 x 1049504919 x 3866597133 x 552371223 x 3294411561 x 470632477 x 296594237 x 17339
Negative: -1 x -73465343-7 x -10495049-19 x -3866597-133 x -552371-223 x -329441-1561 x -47063-2477 x -29659-4237 x -17339


How do I find the factor combinations of the number 73,465,343?

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 73,465,343, 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 73,465,343
-1 -73,465,343

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 73,465,343.

Example:
1 x 73,465,343 = 73,465,343
and
-1 x -73,465,343 = 73,465,343
Notice both answers equal 73,465,343

With that explanation out of the way, let's continue. Next, we take the number 73,465,343 and divide it by 2:

73,465,343 ÷ 2 = 36,732,671.5

If the quotient is a whole number, then 2 and 36,732,671.5 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 73,465,343
-1 -73,465,343

Now, we try dividing 73,465,343 by 3:

73,465,343 ÷ 3 = 24,488,447.6667

If the quotient is a whole number, then 3 and 24,488,447.6667 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 73,465,343
-1 -73,465,343

Let's try dividing by 4:

73,465,343 ÷ 4 = 18,366,335.75

If the quotient is a whole number, then 4 and 18,366,335.75 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 73,465,343
-1 73,465,343
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332231,5612,4774,23717,33929,65947,063329,441552,3713,866,59710,495,04973,465,343
-1-7-19-133-223-1,561-2,477-4,237-17,339-29,659-47,063-329,441-552,371-3,866,597-10,495,049-73,465,343

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