Q: What are the factor combinations of the number 165,669,341?

 A:
Positive:   1 x 16566934119 x 871943971 x 2333371127 x 1304483967 x 1713231349 x 1228092413 x 686579017 x 18373
Negative: -1 x -165669341-19 x -8719439-71 x -2333371-127 x -1304483-967 x -171323-1349 x -122809-2413 x -68657-9017 x -18373


How do I find the factor combinations of the number 165,669,341?

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 165,669,341, 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.

1 165,669,341
-1 -165,669,341

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 165,669,341.

Example:
1 x 165,669,341 = 165,669,341
and
-1 x -165,669,341 = 165,669,341
Notice both answers equal 165,669,341

With that explanation out of the way, let's continue. Next, we take the number 165,669,341 and divide it by 2:

165,669,341 ÷ 2 = 82,834,670.5

If the quotient is a whole number, then 2 and 82,834,670.5 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:

1 165,669,341
-1 -165,669,341

Now, we try dividing 165,669,341 by 3:

165,669,341 ÷ 3 = 55,223,113.6667

If the quotient is a whole number, then 3 and 55,223,113.6667 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:

1 165,669,341
-1 -165,669,341

Let's try dividing by 4:

165,669,341 ÷ 4 = 41,417,335.25

If the quotient is a whole number, then 4 and 41,417,335.25 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:

1 165,669,341
-1 165,669,341
Keep dividing by the next highest number until you cannot divide anymore.

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

119711279671,3492,4139,01718,37368,657122,809171,3231,304,4832,333,3718,719,439165,669,341
-1-19-71-127-967-1,349-2,413-9,017-18,373-68,657-122,809-171,323-1,304,483-2,333,371-8,719,439-165,669,341

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