Q: What are the factor combinations of the number 145,353,043?

 A:
Positive:   1 x 14535304311 x 1321391317 x 8550179173 x 840191187 x 7772891903 x 763812941 x 494234493 x 32351
Negative: -1 x -145353043-11 x -13213913-17 x -8550179-173 x -840191-187 x -777289-1903 x -76381-2941 x -49423-4493 x -32351


How do I find the factor combinations of the number 145,353,043?

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 145,353,043, 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.

1 145,353,043
-1 -145,353,043

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 145,353,043.

Example:
1 x 145,353,043 = 145,353,043
and
-1 x -145,353,043 = 145,353,043
Notice both answers equal 145,353,043

With that explanation out of the way, let's continue. Next, we take the number 145,353,043 and divide it by 2:

145,353,043 ÷ 2 = 72,676,521.5

If the quotient is a whole number, then 2 and 72,676,521.5 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:

1 145,353,043
-1 -145,353,043

Now, we try dividing 145,353,043 by 3:

145,353,043 ÷ 3 = 48,451,014.3333

If the quotient is a whole number, then 3 and 48,451,014.3333 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:

1 145,353,043
-1 -145,353,043

Let's try dividing by 4:

145,353,043 ÷ 4 = 36,338,260.75

If the quotient is a whole number, then 4 and 36,338,260.75 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:

1 145,353,043
-1 145,353,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111171731871,9032,9414,49332,35149,42376,381777,289840,1918,550,17913,213,913145,353,043
-1-11-17-173-187-1,903-2,941-4,493-32,351-49,423-76,381-777,289-840,191-8,550,179-13,213,913-145,353,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 145,353,043:


Ask a Question