Q: What are the factor combinations of the number 473,461,745?

 A:
Positive:   1 x 4734617455 x 94692349
Negative: -1 x -473461745-5 x -94692349


How do I find the factor combinations of the number 473,461,745?

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 473,461,745, 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.

1 473,461,745
-1 -473,461,745

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 473,461,745.

Example:
1 x 473,461,745 = 473,461,745
and
-1 x -473,461,745 = 473,461,745
Notice both answers equal 473,461,745

With that explanation out of the way, let's continue. Next, we take the number 473,461,745 and divide it by 2:

473,461,745 ÷ 2 = 236,730,872.5

If the quotient is a whole number, then 2 and 236,730,872.5 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:

1 473,461,745
-1 -473,461,745

Now, we try dividing 473,461,745 by 3:

473,461,745 ÷ 3 = 157,820,581.6667

If the quotient is a whole number, then 3 and 157,820,581.6667 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:

1 473,461,745
-1 -473,461,745

Let's try dividing by 4:

473,461,745 ÷ 4 = 118,365,436.25

If the quotient is a whole number, then 4 and 118,365,436.25 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:

1 473,461,745
-1 473,461,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1594,692,349473,461,745
-1-5-94,692,349-473,461,745

More Examples

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