Q: What are the factor combinations of the number 462,862,565?

 A:
Positive:   1 x 4628625655 x 9257251311 x 4207841555 x 8415683151 x 3065315755 x 6130631661 x 2786658305 x 55733
Negative: -1 x -462862565-5 x -92572513-11 x -42078415-55 x -8415683-151 x -3065315-755 x -613063-1661 x -278665-8305 x -55733


How do I find the factor combinations of the number 462,862,565?

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 462,862,565, 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.

1 462,862,565
-1 -462,862,565

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 462,862,565.

Example:
1 x 462,862,565 = 462,862,565
and
-1 x -462,862,565 = 462,862,565
Notice both answers equal 462,862,565

With that explanation out of the way, let's continue. Next, we take the number 462,862,565 and divide it by 2:

462,862,565 ÷ 2 = 231,431,282.5

If the quotient is a whole number, then 2 and 231,431,282.5 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:

1 462,862,565
-1 -462,862,565

Now, we try dividing 462,862,565 by 3:

462,862,565 ÷ 3 = 154,287,521.6667

If the quotient is a whole number, then 3 and 154,287,521.6667 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:

1 462,862,565
-1 -462,862,565

Let's try dividing by 4:

462,862,565 ÷ 4 = 115,715,641.25

If the quotient is a whole number, then 4 and 115,715,641.25 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:

1 462,862,565
-1 462,862,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551517551,6618,30555,733278,665613,0633,065,3158,415,68342,078,41592,572,513462,862,565
-1-5-11-55-151-755-1,661-8,305-55,733-278,665-613,063-3,065,315-8,415,683-42,078,415-92,572,513-462,862,565

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