Q: What are the factor combinations of the number 365,503,333?

 A:
Positive:   1 x 36550333313 x 28115641107 x 3415919127 x 28779791391 x 2627631651 x 2213832069 x 17665713589 x 26897
Negative: -1 x -365503333-13 x -28115641-107 x -3415919-127 x -2877979-1391 x -262763-1651 x -221383-2069 x -176657-13589 x -26897


How do I find the factor combinations of the number 365,503,333?

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 365,503,333, 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.

1 365,503,333
-1 -365,503,333

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 365,503,333.

Example:
1 x 365,503,333 = 365,503,333
and
-1 x -365,503,333 = 365,503,333
Notice both answers equal 365,503,333

With that explanation out of the way, let's continue. Next, we take the number 365,503,333 and divide it by 2:

365,503,333 ÷ 2 = 182,751,666.5

If the quotient is a whole number, then 2 and 182,751,666.5 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:

1 365,503,333
-1 -365,503,333

Now, we try dividing 365,503,333 by 3:

365,503,333 ÷ 3 = 121,834,444.3333

If the quotient is a whole number, then 3 and 121,834,444.3333 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:

1 365,503,333
-1 -365,503,333

Let's try dividing by 4:

365,503,333 ÷ 4 = 91,375,833.25

If the quotient is a whole number, then 4 and 91,375,833.25 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:

1 365,503,333
-1 365,503,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1131071271,3911,6512,06913,58926,897176,657221,383262,7632,877,9793,415,91928,115,641365,503,333
-1-13-107-127-1,391-1,651-2,069-13,589-26,897-176,657-221,383-262,763-2,877,979-3,415,919-28,115,641-365,503,333

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