Q: What are the factor combinations of the number 144,411,001?

 A:
Positive:   1 x 1444110017 x 2063014319 x 7600579133 x 1085797313 x 4613772191 x 659113469 x 416295947 x 24283
Negative: -1 x -144411001-7 x -20630143-19 x -7600579-133 x -1085797-313 x -461377-2191 x -65911-3469 x -41629-5947 x -24283


How do I find the factor combinations of the number 144,411,001?

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 144,411,001, 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.

1 144,411,001
-1 -144,411,001

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 144,411,001.

Example:
1 x 144,411,001 = 144,411,001
and
-1 x -144,411,001 = 144,411,001
Notice both answers equal 144,411,001

With that explanation out of the way, let's continue. Next, we take the number 144,411,001 and divide it by 2:

144,411,001 ÷ 2 = 72,205,500.5

If the quotient is a whole number, then 2 and 72,205,500.5 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:

1 144,411,001
-1 -144,411,001

Now, we try dividing 144,411,001 by 3:

144,411,001 ÷ 3 = 48,137,000.3333

If the quotient is a whole number, then 3 and 48,137,000.3333 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:

1 144,411,001
-1 -144,411,001

Let's try dividing by 4:

144,411,001 ÷ 4 = 36,102,750.25

If the quotient is a whole number, then 4 and 36,102,750.25 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:

1 144,411,001
-1 144,411,001
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333132,1913,4695,94724,28341,62965,911461,3771,085,7977,600,57920,630,143144,411,001
-1-7-19-133-313-2,191-3,469-5,947-24,283-41,629-65,911-461,377-1,085,797-7,600,579-20,630,143-144,411,001

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 144,411,001:


Ask a Question