Q: What are the factor combinations of the number 40,700,803?

 A:
Positive:   1 x 4070080311 x 370007313 x 3130831143 x 284621241 x 1688831181 x 344632651 x 153533133 x 12991
Negative: -1 x -40700803-11 x -3700073-13 x -3130831-143 x -284621-241 x -168883-1181 x -34463-2651 x -15353-3133 x -12991


How do I find the factor combinations of the number 40,700,803?

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 40,700,803, 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 40,700,803
-1 -40,700,803

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 40,700,803.

Example:
1 x 40,700,803 = 40,700,803
and
-1 x -40,700,803 = 40,700,803
Notice both answers equal 40,700,803

With that explanation out of the way, let's continue. Next, we take the number 40,700,803 and divide it by 2:

40,700,803 ÷ 2 = 20,350,401.5

If the quotient is a whole number, then 2 and 20,350,401.5 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 40,700,803
-1 -40,700,803

Now, we try dividing 40,700,803 by 3:

40,700,803 ÷ 3 = 13,566,934.3333

If the quotient is a whole number, then 3 and 13,566,934.3333 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 40,700,803
-1 -40,700,803

Let's try dividing by 4:

40,700,803 ÷ 4 = 10,175,200.75

If the quotient is a whole number, then 4 and 10,175,200.75 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 40,700,803
-1 40,700,803
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432411,1812,6513,13312,99115,35334,463168,883284,6213,130,8313,700,07340,700,803
-1-11-13-143-241-1,181-2,651-3,133-12,991-15,353-34,463-168,883-284,621-3,130,831-3,700,073-40,700,803

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