Q: What are the factor combinations of the number 402,143,045?

 A:
Positive:   1 x 4021430455 x 8042860947 x 855623567 x 6002135235 x 1711247335 x 12004273149 x 12770515745 x 25541
Negative: -1 x -402143045-5 x -80428609-47 x -8556235-67 x -6002135-235 x -1711247-335 x -1200427-3149 x -127705-15745 x -25541


How do I find the factor combinations of the number 402,143,045?

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 402,143,045, 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.

1 402,143,045
-1 -402,143,045

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 402,143,045.

Example:
1 x 402,143,045 = 402,143,045
and
-1 x -402,143,045 = 402,143,045
Notice both answers equal 402,143,045

With that explanation out of the way, let's continue. Next, we take the number 402,143,045 and divide it by 2:

402,143,045 ÷ 2 = 201,071,522.5

If the quotient is a whole number, then 2 and 201,071,522.5 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:

1 402,143,045
-1 -402,143,045

Now, we try dividing 402,143,045 by 3:

402,143,045 ÷ 3 = 134,047,681.6667

If the quotient is a whole number, then 3 and 134,047,681.6667 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:

1 402,143,045
-1 -402,143,045

Let's try dividing by 4:

402,143,045 ÷ 4 = 100,535,761.25

If the quotient is a whole number, then 4 and 100,535,761.25 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:

1 402,143,045
-1 402,143,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1547672353353,14915,74525,541127,7051,200,4271,711,2476,002,1358,556,23580,428,609402,143,045
-1-5-47-67-235-335-3,149-15,745-25,541-127,705-1,200,427-1,711,247-6,002,135-8,556,235-80,428,609-402,143,045

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