Q: What are the factor combinations of the number 153,240,001?

 A:
Positive:   1 x 15324000141 x 3737561103 x 1487767131 x 1169771277 x 5532134223 x 362875371 x 2853111357 x 13493
Negative: -1 x -153240001-41 x -3737561-103 x -1487767-131 x -1169771-277 x -553213-4223 x -36287-5371 x -28531-11357 x -13493


How do I find the factor combinations of the number 153,240,001?

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 153,240,001, 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.

1 153,240,001
-1 -153,240,001

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 153,240,001.

Example:
1 x 153,240,001 = 153,240,001
and
-1 x -153,240,001 = 153,240,001
Notice both answers equal 153,240,001

With that explanation out of the way, let's continue. Next, we take the number 153,240,001 and divide it by 2:

153,240,001 ÷ 2 = 76,620,000.5

If the quotient is a whole number, then 2 and 76,620,000.5 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:

1 153,240,001
-1 -153,240,001

Now, we try dividing 153,240,001 by 3:

153,240,001 ÷ 3 = 51,080,000.3333

If the quotient is a whole number, then 3 and 51,080,000.3333 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:

1 153,240,001
-1 -153,240,001

Let's try dividing by 4:

153,240,001 ÷ 4 = 38,310,000.25

If the quotient is a whole number, then 4 and 38,310,000.25 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:

1 153,240,001
-1 153,240,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1411031312774,2235,37111,35713,49328,53136,287553,2131,169,7711,487,7673,737,561153,240,001
-1-41-103-131-277-4,223-5,371-11,357-13,493-28,531-36,287-553,213-1,169,771-1,487,767-3,737,561-153,240,001

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 153,240,001:


Ask a Question