Q: What are the factor combinations of the number 146,285,645?

 A:
Positive:   1 x 1462856455 x 2925712911 x 1329869555 x 2659739881 x 1660453019 x 484554405 x 332099691 x 15095
Negative: -1 x -146285645-5 x -29257129-11 x -13298695-55 x -2659739-881 x -166045-3019 x -48455-4405 x -33209-9691 x -15095


How do I find the factor combinations of the number 146,285,645?

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 146,285,645, 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.

1 146,285,645
-1 -146,285,645

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 146,285,645.

Example:
1 x 146,285,645 = 146,285,645
and
-1 x -146,285,645 = 146,285,645
Notice both answers equal 146,285,645

With that explanation out of the way, let's continue. Next, we take the number 146,285,645 and divide it by 2:

146,285,645 ÷ 2 = 73,142,822.5

If the quotient is a whole number, then 2 and 73,142,822.5 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:

1 146,285,645
-1 -146,285,645

Now, we try dividing 146,285,645 by 3:

146,285,645 ÷ 3 = 48,761,881.6667

If the quotient is a whole number, then 3 and 48,761,881.6667 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:

1 146,285,645
-1 -146,285,645

Let's try dividing by 4:

146,285,645 ÷ 4 = 36,571,411.25

If the quotient is a whole number, then 4 and 36,571,411.25 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:

1 146,285,645
-1 146,285,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558813,0194,4059,69115,09533,20948,455166,0452,659,73913,298,69529,257,129146,285,645
-1-5-11-55-881-3,019-4,405-9,691-15,095-33,209-48,455-166,045-2,659,739-13,298,695-29,257,129-146,285,645

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