Q: What are the factor combinations of the number 478,473,875?

 A:
Positive:   1 x 4784738755 x 9569477511 x 4349762525 x 1913895555 x 8699525125 x 3827791275 x 17399051375 x 347981
Negative: -1 x -478473875-5 x -95694775-11 x -43497625-25 x -19138955-55 x -8699525-125 x -3827791-275 x -1739905-1375 x -347981


How do I find the factor combinations of the number 478,473,875?

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 478,473,875, 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.

1 478,473,875
-1 -478,473,875

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 478,473,875.

Example:
1 x 478,473,875 = 478,473,875
and
-1 x -478,473,875 = 478,473,875
Notice both answers equal 478,473,875

With that explanation out of the way, let's continue. Next, we take the number 478,473,875 and divide it by 2:

478,473,875 ÷ 2 = 239,236,937.5

If the quotient is a whole number, then 2 and 239,236,937.5 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:

1 478,473,875
-1 -478,473,875

Now, we try dividing 478,473,875 by 3:

478,473,875 ÷ 3 = 159,491,291.6667

If the quotient is a whole number, then 3 and 159,491,291.6667 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:

1 478,473,875
-1 -478,473,875

Let's try dividing by 4:

478,473,875 ÷ 4 = 119,618,468.75

If the quotient is a whole number, then 4 and 119,618,468.75 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:

1 478,473,875
-1 478,473,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,375347,9811,739,9053,827,7918,699,52519,138,95543,497,62595,694,775478,473,875
-1-5-11-25-55-125-275-1,375-347,981-1,739,905-3,827,791-8,699,525-19,138,955-43,497,625-95,694,775-478,473,875

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