Q: What are the factor combinations of the number 58,455,023?

 A:
Positive:   1 x 5845502311 x 531409379 x 739937137 x 426679491 x 119053869 x 672671507 x 387895401 x 10823
Negative: -1 x -58455023-11 x -5314093-79 x -739937-137 x -426679-491 x -119053-869 x -67267-1507 x -38789-5401 x -10823


How do I find the factor combinations of the number 58,455,023?

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 58,455,023, 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 58,455,023
-1 -58,455,023

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 58,455,023.

Example:
1 x 58,455,023 = 58,455,023
and
-1 x -58,455,023 = 58,455,023
Notice both answers equal 58,455,023

With that explanation out of the way, let's continue. Next, we take the number 58,455,023 and divide it by 2:

58,455,023 ÷ 2 = 29,227,511.5

If the quotient is a whole number, then 2 and 29,227,511.5 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 58,455,023
-1 -58,455,023

Now, we try dividing 58,455,023 by 3:

58,455,023 ÷ 3 = 19,485,007.6667

If the quotient is a whole number, then 3 and 19,485,007.6667 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 58,455,023
-1 -58,455,023

Let's try dividing by 4:

58,455,023 ÷ 4 = 14,613,755.75

If the quotient is a whole number, then 4 and 14,613,755.75 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 58,455,023
-1 58,455,023
Keep dividing by the next highest number until you cannot divide anymore.

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

111791374918691,5075,40110,82338,78967,267119,053426,679739,9375,314,09358,455,023
-1-11-79-137-491-869-1,507-5,401-10,823-38,789-67,267-119,053-426,679-739,937-5,314,093-58,455,023

More Examples

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