Q: What are the factor combinations of the number 144,744,545?

 A:
Positive:   1 x 1447445455 x 2894890911 x 1315859517 x 851438555 x 263171985 x 1702877187 x 774035935 x 154807
Negative: -1 x -144744545-5 x -28948909-11 x -13158595-17 x -8514385-55 x -2631719-85 x -1702877-187 x -774035-935 x -154807


How do I find the factor combinations of the number 144,744,545?

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 144,744,545, 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.

1 144,744,545
-1 -144,744,545

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 144,744,545.

Example:
1 x 144,744,545 = 144,744,545
and
-1 x -144,744,545 = 144,744,545
Notice both answers equal 144,744,545

With that explanation out of the way, let's continue. Next, we take the number 144,744,545 and divide it by 2:

144,744,545 ÷ 2 = 72,372,272.5

If the quotient is a whole number, then 2 and 72,372,272.5 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:

1 144,744,545
-1 -144,744,545

Now, we try dividing 144,744,545 by 3:

144,744,545 ÷ 3 = 48,248,181.6667

If the quotient is a whole number, then 3 and 48,248,181.6667 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:

1 144,744,545
-1 -144,744,545

Let's try dividing by 4:

144,744,545 ÷ 4 = 36,186,136.25

If the quotient is a whole number, then 4 and 36,186,136.25 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:

1 144,744,545
-1 144,744,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935154,807774,0351,702,8772,631,7198,514,38513,158,59528,948,909144,744,545
-1-5-11-17-55-85-187-935-154,807-774,035-1,702,877-2,631,719-8,514,385-13,158,595-28,948,909-144,744,545

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