Q: What are the factor combinations of the number 40,621,265?

 A:
Positive:   1 x 406212655 x 8124253151 x 269015173 x 234805311 x 130615755 x 53803865 x 469611555 x 26123
Negative: -1 x -40621265-5 x -8124253-151 x -269015-173 x -234805-311 x -130615-755 x -53803-865 x -46961-1555 x -26123


How do I find the factor combinations of the number 40,621,265?

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 40,621,265, 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 40,621,265
-1 -40,621,265

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 40,621,265.

Example:
1 x 40,621,265 = 40,621,265
and
-1 x -40,621,265 = 40,621,265
Notice both answers equal 40,621,265

With that explanation out of the way, let's continue. Next, we take the number 40,621,265 and divide it by 2:

40,621,265 ÷ 2 = 20,310,632.5

If the quotient is a whole number, then 2 and 20,310,632.5 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 40,621,265
-1 -40,621,265

Now, we try dividing 40,621,265 by 3:

40,621,265 ÷ 3 = 13,540,421.6667

If the quotient is a whole number, then 3 and 13,540,421.6667 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 40,621,265
-1 -40,621,265

Let's try dividing by 4:

40,621,265 ÷ 4 = 10,155,316.25

If the quotient is a whole number, then 4 and 10,155,316.25 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 40,621,265
-1 40,621,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151511733117558651,55526,12346,96153,803130,615234,805269,0158,124,25340,621,265
-1-5-151-173-311-755-865-1,555-26,123-46,961-53,803-130,615-234,805-269,015-8,124,253-40,621,265

More Examples

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