Q: What are the factor combinations of the number 470,841,635?

 A:
Positive:   1 x 4708416355 x 9416832711 x 4280378555 x 8560757181 x 2601335905 x 5202671991 x 2364859955 x 47297
Negative: -1 x -470841635-5 x -94168327-11 x -42803785-55 x -8560757-181 x -2601335-905 x -520267-1991 x -236485-9955 x -47297


How do I find the factor combinations of the number 470,841,635?

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 470,841,635, 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.

1 470,841,635
-1 -470,841,635

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 470,841,635.

Example:
1 x 470,841,635 = 470,841,635
and
-1 x -470,841,635 = 470,841,635
Notice both answers equal 470,841,635

With that explanation out of the way, let's continue. Next, we take the number 470,841,635 and divide it by 2:

470,841,635 ÷ 2 = 235,420,817.5

If the quotient is a whole number, then 2 and 235,420,817.5 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:

1 470,841,635
-1 -470,841,635

Now, we try dividing 470,841,635 by 3:

470,841,635 ÷ 3 = 156,947,211.6667

If the quotient is a whole number, then 3 and 156,947,211.6667 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:

1 470,841,635
-1 -470,841,635

Let's try dividing by 4:

470,841,635 ÷ 4 = 117,710,408.75

If the quotient is a whole number, then 4 and 117,710,408.75 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:

1 470,841,635
-1 470,841,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551819051,9919,95547,297236,485520,2672,601,3358,560,75742,803,78594,168,327470,841,635
-1-5-11-55-181-905-1,991-9,955-47,297-236,485-520,267-2,601,335-8,560,757-42,803,785-94,168,327-470,841,635

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