Q: What are the factor combinations of the number 143,202,421?

 A:
Positive:   1 x 14320242173 x 1961677337 x 4249335821 x 24601
Negative: -1 x -143202421-73 x -1961677-337 x -424933-5821 x -24601


How do I find the factor combinations of the number 143,202,421?

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 143,202,421, 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.

1 143,202,421
-1 -143,202,421

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 143,202,421.

Example:
1 x 143,202,421 = 143,202,421
and
-1 x -143,202,421 = 143,202,421
Notice both answers equal 143,202,421

With that explanation out of the way, let's continue. Next, we take the number 143,202,421 and divide it by 2:

143,202,421 ÷ 2 = 71,601,210.5

If the quotient is a whole number, then 2 and 71,601,210.5 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:

1 143,202,421
-1 -143,202,421

Now, we try dividing 143,202,421 by 3:

143,202,421 ÷ 3 = 47,734,140.3333

If the quotient is a whole number, then 3 and 47,734,140.3333 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:

1 143,202,421
-1 -143,202,421

Let's try dividing by 4:

143,202,421 ÷ 4 = 35,800,605.25

If the quotient is a whole number, then 4 and 35,800,605.25 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:

1 143,202,421
-1 143,202,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1733375,82124,601424,9331,961,677143,202,421
-1-73-337-5,821-24,601-424,933-1,961,677-143,202,421

More Examples

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