Q: What are the factor combinations of the number 462,475?

 A:
Positive:   1 x 4624755 x 9249513 x 3557525 x 1849965 x 7115325 x 1423
Negative: -1 x -462475-5 x -92495-13 x -35575-25 x -18499-65 x -7115-325 x -1423


How do I find the factor combinations of the number 462,475?

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 462,475, 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.

1 462,475
-1 -462,475

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 462,475.

Example:
1 x 462,475 = 462,475
and
-1 x -462,475 = 462,475
Notice both answers equal 462,475

With that explanation out of the way, let's continue. Next, we take the number 462,475 and divide it by 2:

462,475 ÷ 2 = 231,237.5

If the quotient is a whole number, then 2 and 231,237.5 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:

1 462,475
-1 -462,475

Now, we try dividing 462,475 by 3:

462,475 ÷ 3 = 154,158.3333

If the quotient is a whole number, then 3 and 154,158.3333 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:

1 462,475
-1 -462,475

Let's try dividing by 4:

462,475 ÷ 4 = 115,618.75

If the quotient is a whole number, then 4 and 115,618.75 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:

1 462,475
-1 462,475
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653251,4237,11518,49935,57592,495462,475
-1-5-13-25-65-325-1,423-7,115-18,499-35,575-92,495-462,475

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 462,475:


Ask a Question