Q: What are the factor combinations of the number 42,015,155?

 A:
Positive:   1 x 420151555 x 84030317 x 600216513 x 323193535 x 120043365 x 64638791 x 461705107 x 392665455 x 92341535 x 78533749 x 56095863 x 486851391 x 302053745 x 112194315 x 97376041 x 6955
Negative: -1 x -42015155-5 x -8403031-7 x -6002165-13 x -3231935-35 x -1200433-65 x -646387-91 x -461705-107 x -392665-455 x -92341-535 x -78533-749 x -56095-863 x -48685-1391 x -30205-3745 x -11219-4315 x -9737-6041 x -6955


How do I find the factor combinations of the number 42,015,155?

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 42,015,155, 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 42,015,155
-1 -42,015,155

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 42,015,155.

Example:
1 x 42,015,155 = 42,015,155
and
-1 x -42,015,155 = 42,015,155
Notice both answers equal 42,015,155

With that explanation out of the way, let's continue. Next, we take the number 42,015,155 and divide it by 2:

42,015,155 ÷ 2 = 21,007,577.5

If the quotient is a whole number, then 2 and 21,007,577.5 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 42,015,155
-1 -42,015,155

Now, we try dividing 42,015,155 by 3:

42,015,155 ÷ 3 = 14,005,051.6667

If the quotient is a whole number, then 3 and 14,005,051.6667 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 42,015,155
-1 -42,015,155

Let's try dividing by 4:

42,015,155 ÷ 4 = 10,503,788.75

If the quotient is a whole number, then 4 and 10,503,788.75 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 42,015,155
-1 42,015,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911074555357498631,3913,7454,3156,0416,9559,73711,21930,20548,68556,09578,53392,341392,665461,705646,3871,200,4333,231,9356,002,1658,403,03142,015,155
-1-5-7-13-35-65-91-107-455-535-749-863-1,391-3,745-4,315-6,041-6,955-9,737-11,219-30,205-48,685-56,095-78,533-92,341-392,665-461,705-646,387-1,200,433-3,231,935-6,002,165-8,403,031-42,015,155

More Examples

Here are some more numbers to try:

42,015,15342,015,15442,015,15642,015,157
Try the factor calculator

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