Q: What are the factor combinations of the number 144,744,473?

 A:
Positive:   1 x 14474447341 x 353035373 x 1982801137 x 1056529353 x 4100412993 x 483615617 x 2576910001 x 14473
Negative: -1 x -144744473-41 x -3530353-73 x -1982801-137 x -1056529-353 x -410041-2993 x -48361-5617 x -25769-10001 x -14473


How do I find the factor combinations of the number 144,744,473?

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 144,744,473, 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.

1 144,744,473
-1 -144,744,473

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 144,744,473.

Example:
1 x 144,744,473 = 144,744,473
and
-1 x -144,744,473 = 144,744,473
Notice both answers equal 144,744,473

With that explanation out of the way, let's continue. Next, we take the number 144,744,473 and divide it by 2:

144,744,473 ÷ 2 = 72,372,236.5

If the quotient is a whole number, then 2 and 72,372,236.5 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:

1 144,744,473
-1 -144,744,473

Now, we try dividing 144,744,473 by 3:

144,744,473 ÷ 3 = 48,248,157.6667

If the quotient is a whole number, then 3 and 48,248,157.6667 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:

1 144,744,473
-1 -144,744,473

Let's try dividing by 4:

144,744,473 ÷ 4 = 36,186,118.25

If the quotient is a whole number, then 4 and 36,186,118.25 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:

1 144,744,473
-1 144,744,473
Keep dividing by the next highest number until you cannot divide anymore.

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

141731373532,9935,61710,00114,47325,76948,361410,0411,056,5291,982,8013,530,353144,744,473
-1-41-73-137-353-2,993-5,617-10,001-14,473-25,769-48,361-410,041-1,056,529-1,982,801-3,530,353-144,744,473

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