Q: What are the factor combinations of the number 562,314,545?

 A:
Positive:   1 x 5623145455 x 11246290913 x 4325496559 x 953075565 x 8650993169 x 3327305295 x 1906151767 x 733135845 x 6654613835 x 1466279971 x 5639511279 x 49855
Negative: -1 x -562314545-5 x -112462909-13 x -43254965-59 x -9530755-65 x -8650993-169 x -3327305-295 x -1906151-767 x -733135-845 x -665461-3835 x -146627-9971 x -56395-11279 x -49855


How do I find the factor combinations of the number 562,314,545?

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 562,314,545, 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.

1 562,314,545
-1 -562,314,545

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 562,314,545.

Example:
1 x 562,314,545 = 562,314,545
and
-1 x -562,314,545 = 562,314,545
Notice both answers equal 562,314,545

With that explanation out of the way, let's continue. Next, we take the number 562,314,545 and divide it by 2:

562,314,545 ÷ 2 = 281,157,272.5

If the quotient is a whole number, then 2 and 281,157,272.5 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:

1 562,314,545
-1 -562,314,545

Now, we try dividing 562,314,545 by 3:

562,314,545 ÷ 3 = 187,438,181.6667

If the quotient is a whole number, then 3 and 187,438,181.6667 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:

1 562,314,545
-1 -562,314,545

Let's try dividing by 4:

562,314,545 ÷ 4 = 140,578,636.25

If the quotient is a whole number, then 4 and 140,578,636.25 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:

1 562,314,545
-1 562,314,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151359651692957678453,8359,97111,27949,85556,395146,627665,461733,1351,906,1513,327,3058,650,9939,530,75543,254,965112,462,909562,314,545
-1-5-13-59-65-169-295-767-845-3,835-9,971-11,279-49,855-56,395-146,627-665,461-733,135-1,906,151-3,327,305-8,650,993-9,530,755-43,254,965-112,462,909-562,314,545

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