Q: What are the factor combinations of the number 58,817,940?

 A:
Positive:   1 x 588179402 x 294089703 x 196059804 x 147044855 x 117635886 x 980299010 x 588179412 x 490149515 x 392119620 x 294089730 x 196059860 x 980299
Negative: -1 x -58817940-2 x -29408970-3 x -19605980-4 x -14704485-5 x -11763588-6 x -9802990-10 x -5881794-12 x -4901495-15 x -3921196-20 x -2940897-30 x -1960598-60 x -980299


How do I find the factor combinations of the number 58,817,940?

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 58,817,940, 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 58,817,940
-1 -58,817,940

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 58,817,940.

Example:
1 x 58,817,940 = 58,817,940
and
-1 x -58,817,940 = 58,817,940
Notice both answers equal 58,817,940

With that explanation out of the way, let's continue. Next, we take the number 58,817,940 and divide it by 2:

58,817,940 ÷ 2 = 29,408,970

If the quotient is a whole number, then 2 and 29,408,970 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 29,408,970 58,817,940
-1 -2 -29,408,970 -58,817,940

Now, we try dividing 58,817,940 by 3:

58,817,940 ÷ 3 = 19,605,980

If the quotient is a whole number, then 3 and 19,605,980 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 19,605,980 29,408,970 58,817,940
-1 -2 -3 -19,605,980 -29,408,970 -58,817,940

Let's try dividing by 4:

58,817,940 ÷ 4 = 14,704,485

If the quotient is a whole number, then 4 and 14,704,485 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 14,704,485 19,605,980 29,408,970 58,817,940
-1 -2 -3 -4 -14,704,485 -19,605,980 -29,408,970 58,817,940
Keep dividing by the next highest number until you cannot divide anymore.

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

123456101215203060980,2991,960,5982,940,8973,921,1964,901,4955,881,7949,802,99011,763,58814,704,48519,605,98029,408,97058,817,940
-1-2-3-4-5-6-10-12-15-20-30-60-980,299-1,960,598-2,940,897-3,921,196-4,901,495-5,881,794-9,802,990-11,763,588-14,704,485-19,605,980-29,408,970-58,817,940

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