Q: What are the factor combinations of the number 542,332,435?

 A:
Positive:   1 x 5423324355 x 10846648771 x 7638485149 x 3639815355 x 1527697745 x 72796310253 x 5289510579 x 51265
Negative: -1 x -542332435-5 x -108466487-71 x -7638485-149 x -3639815-355 x -1527697-745 x -727963-10253 x -52895-10579 x -51265


How do I find the factor combinations of the number 542,332,435?

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 542,332,435, 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.

1 542,332,435
-1 -542,332,435

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 542,332,435.

Example:
1 x 542,332,435 = 542,332,435
and
-1 x -542,332,435 = 542,332,435
Notice both answers equal 542,332,435

With that explanation out of the way, let's continue. Next, we take the number 542,332,435 and divide it by 2:

542,332,435 ÷ 2 = 271,166,217.5

If the quotient is a whole number, then 2 and 271,166,217.5 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:

1 542,332,435
-1 -542,332,435

Now, we try dividing 542,332,435 by 3:

542,332,435 ÷ 3 = 180,777,478.3333

If the quotient is a whole number, then 3 and 180,777,478.3333 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:

1 542,332,435
-1 -542,332,435

Let's try dividing by 4:

542,332,435 ÷ 4 = 135,583,108.75

If the quotient is a whole number, then 4 and 135,583,108.75 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:

1 542,332,435
-1 542,332,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157114935574510,25310,57951,26552,895727,9631,527,6973,639,8157,638,485108,466,487542,332,435
-1-5-71-149-355-745-10,253-10,579-51,265-52,895-727,963-1,527,697-3,639,815-7,638,485-108,466,487-542,332,435

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