Q: What are the factor combinations of the number 540,644,045?

 A:
Positive:   1 x 5406440455 x 108128809337 x 1604285499 x 1083455643 x 8408151685 x 3208572495 x 2166913215 x 168163
Negative: -1 x -540644045-5 x -108128809-337 x -1604285-499 x -1083455-643 x -840815-1685 x -320857-2495 x -216691-3215 x -168163


How do I find the factor combinations of the number 540,644,045?

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 540,644,045, 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.

1 540,644,045
-1 -540,644,045

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 540,644,045.

Example:
1 x 540,644,045 = 540,644,045
and
-1 x -540,644,045 = 540,644,045
Notice both answers equal 540,644,045

With that explanation out of the way, let's continue. Next, we take the number 540,644,045 and divide it by 2:

540,644,045 ÷ 2 = 270,322,022.5

If the quotient is a whole number, then 2 and 270,322,022.5 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:

1 540,644,045
-1 -540,644,045

Now, we try dividing 540,644,045 by 3:

540,644,045 ÷ 3 = 180,214,681.6667

If the quotient is a whole number, then 3 and 180,214,681.6667 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:

1 540,644,045
-1 -540,644,045

Let's try dividing by 4:

540,644,045 ÷ 4 = 135,161,011.25

If the quotient is a whole number, then 4 and 135,161,011.25 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:

1 540,644,045
-1 540,644,045
Keep dividing by the next highest number until you cannot divide anymore.

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

153374996431,6852,4953,215168,163216,691320,857840,8151,083,4551,604,285108,128,809540,644,045
-1-5-337-499-643-1,685-2,495-3,215-168,163-216,691-320,857-840,815-1,083,455-1,604,285-108,128,809-540,644,045

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