Q: What are the factor combinations of the number 144,472,207?

 A:
Positive:   1 x 14447220711 x 1313383783 x 1740629229 x 630883691 x 209077913 x 1582392519 x 573537601 x 19007
Negative: -1 x -144472207-11 x -13133837-83 x -1740629-229 x -630883-691 x -209077-913 x -158239-2519 x -57353-7601 x -19007


How do I find the factor combinations of the number 144,472,207?

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 144,472,207, 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.

1 144,472,207
-1 -144,472,207

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 144,472,207.

Example:
1 x 144,472,207 = 144,472,207
and
-1 x -144,472,207 = 144,472,207
Notice both answers equal 144,472,207

With that explanation out of the way, let's continue. Next, we take the number 144,472,207 and divide it by 2:

144,472,207 ÷ 2 = 72,236,103.5

If the quotient is a whole number, then 2 and 72,236,103.5 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:

1 144,472,207
-1 -144,472,207

Now, we try dividing 144,472,207 by 3:

144,472,207 ÷ 3 = 48,157,402.3333

If the quotient is a whole number, then 3 and 48,157,402.3333 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:

1 144,472,207
-1 -144,472,207

Let's try dividing by 4:

144,472,207 ÷ 4 = 36,118,051.75

If the quotient is a whole number, then 4 and 36,118,051.75 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:

1 144,472,207
-1 144,472,207
Keep dividing by the next highest number until you cannot divide anymore.

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

111832296919132,5197,60119,00757,353158,239209,077630,8831,740,62913,133,837144,472,207
-1-11-83-229-691-913-2,519-7,601-19,007-57,353-158,239-209,077-630,883-1,740,629-13,133,837-144,472,207

More Examples

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