Q: What are the factor combinations of the number 452,001,407?

 A:
Positive:   1 x 45200140711 x 4109103713 x 3476933971 x 6366217143 x 3160849781 x 578747923 x 48970910153 x 44519
Negative: -1 x -452001407-11 x -41091037-13 x -34769339-71 x -6366217-143 x -3160849-781 x -578747-923 x -489709-10153 x -44519


How do I find the factor combinations of the number 452,001,407?

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 452,001,407, 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.

1 452,001,407
-1 -452,001,407

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 452,001,407.

Example:
1 x 452,001,407 = 452,001,407
and
-1 x -452,001,407 = 452,001,407
Notice both answers equal 452,001,407

With that explanation out of the way, let's continue. Next, we take the number 452,001,407 and divide it by 2:

452,001,407 ÷ 2 = 226,000,703.5

If the quotient is a whole number, then 2 and 226,000,703.5 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:

1 452,001,407
-1 -452,001,407

Now, we try dividing 452,001,407 by 3:

452,001,407 ÷ 3 = 150,667,135.6667

If the quotient is a whole number, then 3 and 150,667,135.6667 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:

1 452,001,407
-1 -452,001,407

Let's try dividing by 4:

452,001,407 ÷ 4 = 113,000,351.75

If the quotient is a whole number, then 4 and 113,000,351.75 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:

1 452,001,407
-1 452,001,407
Keep dividing by the next highest number until you cannot divide anymore.

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

111137114378192310,15344,519489,709578,7473,160,8496,366,21734,769,33941,091,037452,001,407
-1-11-13-71-143-781-923-10,153-44,519-489,709-578,747-3,160,849-6,366,217-34,769,339-41,091,037-452,001,407

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