Q: What are the factor combinations of the number 543,740,071?

 A:
Positive:   1 x 5437400717 x 7767715389 x 6109439419 x 1297709623 x 8727772083 x 2610372933 x 18538714581 x 37291
Negative: -1 x -543740071-7 x -77677153-89 x -6109439-419 x -1297709-623 x -872777-2083 x -261037-2933 x -185387-14581 x -37291


How do I find the factor combinations of the number 543,740,071?

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 543,740,071, 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.

1 543,740,071
-1 -543,740,071

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 543,740,071.

Example:
1 x 543,740,071 = 543,740,071
and
-1 x -543,740,071 = 543,740,071
Notice both answers equal 543,740,071

With that explanation out of the way, let's continue. Next, we take the number 543,740,071 and divide it by 2:

543,740,071 ÷ 2 = 271,870,035.5

If the quotient is a whole number, then 2 and 271,870,035.5 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:

1 543,740,071
-1 -543,740,071

Now, we try dividing 543,740,071 by 3:

543,740,071 ÷ 3 = 181,246,690.3333

If the quotient is a whole number, then 3 and 181,246,690.3333 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:

1 543,740,071
-1 -543,740,071

Let's try dividing by 4:

543,740,071 ÷ 4 = 135,935,017.75

If the quotient is a whole number, then 4 and 135,935,017.75 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:

1 543,740,071
-1 543,740,071
Keep dividing by the next highest number until you cannot divide anymore.

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

17894196232,0832,93314,58137,291185,387261,037872,7771,297,7096,109,43977,677,153543,740,071
-1-7-89-419-623-2,083-2,933-14,581-37,291-185,387-261,037-872,777-1,297,709-6,109,439-77,677,153-543,740,071

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