Q: What are the factor combinations of the number 402,452,459?

 A:
Positive:   1 x 40245245923 x 1749793329 x 13877671127 x 3168917667 x 6033772921 x 1377793683 x 1092734751 x 84709
Negative: -1 x -402452459-23 x -17497933-29 x -13877671-127 x -3168917-667 x -603377-2921 x -137779-3683 x -109273-4751 x -84709


How do I find the factor combinations of the number 402,452,459?

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 402,452,459, 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.

1 402,452,459
-1 -402,452,459

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 402,452,459.

Example:
1 x 402,452,459 = 402,452,459
and
-1 x -402,452,459 = 402,452,459
Notice both answers equal 402,452,459

With that explanation out of the way, let's continue. Next, we take the number 402,452,459 and divide it by 2:

402,452,459 ÷ 2 = 201,226,229.5

If the quotient is a whole number, then 2 and 201,226,229.5 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:

1 402,452,459
-1 -402,452,459

Now, we try dividing 402,452,459 by 3:

402,452,459 ÷ 3 = 134,150,819.6667

If the quotient is a whole number, then 3 and 134,150,819.6667 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:

1 402,452,459
-1 -402,452,459

Let's try dividing by 4:

402,452,459 ÷ 4 = 100,613,114.75

If the quotient is a whole number, then 4 and 100,613,114.75 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:

1 402,452,459
-1 402,452,459
Keep dividing by the next highest number until you cannot divide anymore.

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

123291276672,9213,6834,75184,709109,273137,779603,3773,168,91713,877,67117,497,933402,452,459
-1-23-29-127-667-2,921-3,683-4,751-84,709-109,273-137,779-603,377-3,168,917-13,877,671-17,497,933-402,452,459

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 402,452,459:


Ask a Question