Q: What are the factor combinations of the number 164,136,455?

 A:
Positive:   1 x 1641364555 x 328272917 x 2344806535 x 468961347 x 3492265113 x 1452535235 x 698453329 x 498895565 x 290507791 x 207505883 x 1858851645 x 997793955 x 415014415 x 371775311 x 309056181 x 26555
Negative: -1 x -164136455-5 x -32827291-7 x -23448065-35 x -4689613-47 x -3492265-113 x -1452535-235 x -698453-329 x -498895-565 x -290507-791 x -207505-883 x -185885-1645 x -99779-3955 x -41501-4415 x -37177-5311 x -30905-6181 x -26555


How do I find the factor combinations of the number 164,136,455?

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 164,136,455, 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.

1 164,136,455
-1 -164,136,455

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 164,136,455.

Example:
1 x 164,136,455 = 164,136,455
and
-1 x -164,136,455 = 164,136,455
Notice both answers equal 164,136,455

With that explanation out of the way, let's continue. Next, we take the number 164,136,455 and divide it by 2:

164,136,455 ÷ 2 = 82,068,227.5

If the quotient is a whole number, then 2 and 82,068,227.5 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:

1 164,136,455
-1 -164,136,455

Now, we try dividing 164,136,455 by 3:

164,136,455 ÷ 3 = 54,712,151.6667

If the quotient is a whole number, then 3 and 54,712,151.6667 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:

1 164,136,455
-1 -164,136,455

Let's try dividing by 4:

164,136,455 ÷ 4 = 41,034,113.75

If the quotient is a whole number, then 4 and 41,034,113.75 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:

1 164,136,455
-1 164,136,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15735471132353295657918831,6453,9554,4155,3116,18126,55530,90537,17741,50199,779185,885207,505290,507498,895698,4531,452,5353,492,2654,689,61323,448,06532,827,291164,136,455
-1-5-7-35-47-113-235-329-565-791-883-1,645-3,955-4,415-5,311-6,181-26,555-30,905-37,177-41,501-99,779-185,885-207,505-290,507-498,895-698,453-1,452,535-3,492,265-4,689,613-23,448,065-32,827,291-164,136,455

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