Q: What are the factor combinations of the number 164,472,455?

 A:
Positive:   1 x 1644724555 x 328944917 x 2349606519 x 865644535 x 469921395 x 1731289133 x 1236635167 x 984865665 x 247327835 x 1969731169 x 1406951481 x 1110553173 x 518355845 x 281397405 x 2221110367 x 15865
Negative: -1 x -164472455-5 x -32894491-7 x -23496065-19 x -8656445-35 x -4699213-95 x -1731289-133 x -1236635-167 x -984865-665 x -247327-835 x -196973-1169 x -140695-1481 x -111055-3173 x -51835-5845 x -28139-7405 x -22211-10367 x -15865


How do I find the factor combinations of the number 164,472,455?

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 164,472,455, 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.

1 164,472,455
-1 -164,472,455

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 164,472,455.

Example:
1 x 164,472,455 = 164,472,455
and
-1 x -164,472,455 = 164,472,455
Notice both answers equal 164,472,455

With that explanation out of the way, let's continue. Next, we take the number 164,472,455 and divide it by 2:

164,472,455 ÷ 2 = 82,236,227.5

If the quotient is a whole number, then 2 and 82,236,227.5 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:

1 164,472,455
-1 -164,472,455

Now, we try dividing 164,472,455 by 3:

164,472,455 ÷ 3 = 54,824,151.6667

If the quotient is a whole number, then 3 and 54,824,151.6667 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:

1 164,472,455
-1 -164,472,455

Let's try dividing by 4:

164,472,455 ÷ 4 = 41,118,113.75

If the quotient is a whole number, then 4 and 41,118,113.75 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:

1 164,472,455
-1 164,472,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951331676658351,1691,4813,1735,8457,40510,36715,86522,21128,13951,835111,055140,695196,973247,327984,8651,236,6351,731,2894,699,2138,656,44523,496,06532,894,491164,472,455
-1-5-7-19-35-95-133-167-665-835-1,169-1,481-3,173-5,845-7,405-10,367-15,865-22,211-28,139-51,835-111,055-140,695-196,973-247,327-984,865-1,236,635-1,731,289-4,699,213-8,656,445-23,496,065-32,894,491-164,472,455

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