Q: What are the factor combinations of the number 20,545,343?

 A:
Positive:   1 x 205453437 x 293504913 x 158041131 x 66275391 x 225773217 x 94679403 x 509812821 x 7283
Negative: -1 x -20545343-7 x -2935049-13 x -1580411-31 x -662753-91 x -225773-217 x -94679-403 x -50981-2821 x -7283


How do I find the factor combinations of the number 20,545,343?

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 20,545,343, 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 20,545,343
-1 -20,545,343

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 20,545,343.

Example:
1 x 20,545,343 = 20,545,343
and
-1 x -20,545,343 = 20,545,343
Notice both answers equal 20,545,343

With that explanation out of the way, let's continue. Next, we take the number 20,545,343 and divide it by 2:

20,545,343 ÷ 2 = 10,272,671.5

If the quotient is a whole number, then 2 and 10,272,671.5 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 20,545,343
-1 -20,545,343

Now, we try dividing 20,545,343 by 3:

20,545,343 ÷ 3 = 6,848,447.6667

If the quotient is a whole number, then 3 and 6,848,447.6667 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 20,545,343
-1 -20,545,343

Let's try dividing by 4:

20,545,343 ÷ 4 = 5,136,335.75

If the quotient is a whole number, then 4 and 5,136,335.75 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 20,545,343
-1 20,545,343
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,8217,28350,98194,679225,773662,7531,580,4112,935,04920,545,343
-1-7-13-31-91-217-403-2,821-7,283-50,981-94,679-225,773-662,753-1,580,411-2,935,049-20,545,343

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,545,343:


Ask a Question