Q: What are the factor combinations of the number 163,310,603?

 A:
Positive:   1 x 16331060323 x 710046143 x 379792161 x 2677223989 x 1651271403 x 1164012623 x 622612707 x 60329
Negative: -1 x -163310603-23 x -7100461-43 x -3797921-61 x -2677223-989 x -165127-1403 x -116401-2623 x -62261-2707 x -60329


How do I find the factor combinations of the number 163,310,603?

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 163,310,603, 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.

1 163,310,603
-1 -163,310,603

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 163,310,603.

Example:
1 x 163,310,603 = 163,310,603
and
-1 x -163,310,603 = 163,310,603
Notice both answers equal 163,310,603

With that explanation out of the way, let's continue. Next, we take the number 163,310,603 and divide it by 2:

163,310,603 ÷ 2 = 81,655,301.5

If the quotient is a whole number, then 2 and 81,655,301.5 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:

1 163,310,603
-1 -163,310,603

Now, we try dividing 163,310,603 by 3:

163,310,603 ÷ 3 = 54,436,867.6667

If the quotient is a whole number, then 3 and 54,436,867.6667 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:

1 163,310,603
-1 -163,310,603

Let's try dividing by 4:

163,310,603 ÷ 4 = 40,827,650.75

If the quotient is a whole number, then 4 and 40,827,650.75 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:

1 163,310,603
-1 163,310,603
Keep dividing by the next highest number until you cannot divide anymore.

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

12343619891,4032,6232,70760,32962,261116,401165,1272,677,2233,797,9217,100,461163,310,603
-1-23-43-61-989-1,403-2,623-2,707-60,329-62,261-116,401-165,127-2,677,223-3,797,921-7,100,461-163,310,603

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