Q: What are the factor combinations of the number 470,195?

 A:
Positive:   1 x 4701955 x 9403911 x 4274555 x 854983 x 5665103 x 4565415 x 1133515 x 913
Negative: -1 x -470195-5 x -94039-11 x -42745-55 x -8549-83 x -5665-103 x -4565-415 x -1133-515 x -913


How do I find the factor combinations of the number 470,195?

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 470,195, 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.

1 470,195
-1 -470,195

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 470,195.

Example:
1 x 470,195 = 470,195
and
-1 x -470,195 = 470,195
Notice both answers equal 470,195

With that explanation out of the way, let's continue. Next, we take the number 470,195 and divide it by 2:

470,195 ÷ 2 = 235,097.5

If the quotient is a whole number, then 2 and 235,097.5 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:

1 470,195
-1 -470,195

Now, we try dividing 470,195 by 3:

470,195 ÷ 3 = 156,731.6667

If the quotient is a whole number, then 3 and 156,731.6667 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:

1 470,195
-1 -470,195

Let's try dividing by 4:

470,195 ÷ 4 = 117,548.75

If the quotient is a whole number, then 4 and 117,548.75 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:

1 470,195
-1 470,195
Keep dividing by the next highest number until you cannot divide anymore.

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

151155831034155159131,1334,5655,6658,54942,74594,039470,195
-1-5-11-55-83-103-415-515-913-1,133-4,565-5,665-8,549-42,745-94,039-470,195

More Examples

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