Q: What are the factor combinations of the number 388,465?

 A:
Positive:   1 x 3884655 x 776937 x 5549511 x 3531535 x 1109955 x 706377 x 5045385 x 1009
Negative: -1 x -388465-5 x -77693-7 x -55495-11 x -35315-35 x -11099-55 x -7063-77 x -5045-385 x -1009


How do I find the factor combinations of the number 388,465?

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 388,465, 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.

1 388,465
-1 -388,465

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 388,465.

Example:
1 x 388,465 = 388,465
and
-1 x -388,465 = 388,465
Notice both answers equal 388,465

With that explanation out of the way, let's continue. Next, we take the number 388,465 and divide it by 2:

388,465 ÷ 2 = 194,232.5

If the quotient is a whole number, then 2 and 194,232.5 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:

1 388,465
-1 -388,465

Now, we try dividing 388,465 by 3:

388,465 ÷ 3 = 129,488.3333

If the quotient is a whole number, then 3 and 129,488.3333 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:

1 388,465
-1 -388,465

Let's try dividing by 4:

388,465 ÷ 4 = 97,116.25

If the quotient is a whole number, then 4 and 97,116.25 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:

1 388,465
-1 388,465
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773851,0095,0457,06311,09935,31555,49577,693388,465
-1-5-7-11-35-55-77-385-1,009-5,045-7,063-11,099-35,315-55,495-77,693-388,465

More Examples

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