Q: What are the factor combinations of the number 364,633,789?

 A:
Positive:   1 x 36463378913 x 2804875323 x 15853643299 x 1219511857 x 4254771423 x 25624311141 x 3272918499 x 19711
Negative: -1 x -364633789-13 x -28048753-23 x -15853643-299 x -1219511-857 x -425477-1423 x -256243-11141 x -32729-18499 x -19711


How do I find the factor combinations of the number 364,633,789?

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 364,633,789, 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.

1 364,633,789
-1 -364,633,789

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 364,633,789.

Example:
1 x 364,633,789 = 364,633,789
and
-1 x -364,633,789 = 364,633,789
Notice both answers equal 364,633,789

With that explanation out of the way, let's continue. Next, we take the number 364,633,789 and divide it by 2:

364,633,789 ÷ 2 = 182,316,894.5

If the quotient is a whole number, then 2 and 182,316,894.5 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:

1 364,633,789
-1 -364,633,789

Now, we try dividing 364,633,789 by 3:

364,633,789 ÷ 3 = 121,544,596.3333

If the quotient is a whole number, then 3 and 121,544,596.3333 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:

1 364,633,789
-1 -364,633,789

Let's try dividing by 4:

364,633,789 ÷ 4 = 91,158,447.25

If the quotient is a whole number, then 4 and 91,158,447.25 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:

1 364,633,789
-1 364,633,789
Keep dividing by the next highest number until you cannot divide anymore.

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

113232998571,42311,14118,49919,71132,729256,243425,4771,219,51115,853,64328,048,753364,633,789
-1-13-23-299-857-1,423-11,141-18,499-19,711-32,729-256,243-425,477-1,219,511-15,853,643-28,048,753-364,633,789

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