Q: What are the factors or divisors of the number 42,378?

 A: 1236714214210092018302760547063141262118942378

How do I find the factors or divisors of the number 42,378?

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 factors of larger numbers. To find the factors of the number 42,378, it is easiest to start from the outside in. Here's what we mean:

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.

1 42,378

Next, we take the number 42,378 and divide it by 2.

In this case, 42,378 ÷ 2 = 21,189

If the quotient is a whole number, then 2 and 21,189 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,189 42,378

Now, we try dividing 42,378 by 3.

42,378 ÷ 3 = 14,126

If the quotient is a whole number, then 3 and 14,126 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 14,126 21,189 42,378

Let's try dividing by 4.

42,378 ÷ 4 = 10,594.5

If the quotient is a whole number, then 4 and 10,594.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 14,126 21,189 42,378

We keep dividing by the next largest number, in this case the number 5. If the quotient of 42,378 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

123671421421,0092,0183,0276,0547,06314,12621,18942,378

All of the numbers in the table above can be evenly divided into the number 42,378.

Finally, for your reference, here are all of the divisor combinations of the number 42,378:

1 x 423782 x 211893 x 141266 x 70637 x 605414 x 302721 x 201842 x 1009


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,378:


Ask a Question