How do I find the factors or divisors of the number 42,301,020?

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 42,301,020, 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 42,301,020

Next, we take the number 42,301,020 and divide it by 2.

In this case, 42,301,020 ÷ 2 = 21,150,510

If the quotient is a whole number, then 2 and 21,150,510 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,150,510 42,301,020

Now, we try dividing 42,301,020 by 3.

42,301,020 ÷ 3 = 14,100,340

If the quotient is a whole number, then 3 and 14,100,340 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 14,100,340 21,150,510 42,301,020

Let's try dividing by 4.

42,301,020 ÷ 4 = 10,575,255

If the quotient is a whole number, then 4 and 10,575,255 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 4 10,575,255 14,100,340 21,150,510 42,301,020

We keep dividing by the next largest number, in this case the number 5. If the quotient of 42,301,020 ÷ 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:

123456101215203060705,0171,410,0342,115,0512,820,0683,525,0854,230,1027,050,1708,460,20410,575,25514,100,34021,150,51042,301,020

All of the numbers in the table above can be evenly divided into the number 42,301,020.

Finally, for your reference, here are all of the divisor combinations of the number 42,301,020:

1 x 423010202 x 211505103 x 141003404 x 105752555 x 84602046 x 705017010 x 423010212 x 352508515 x 282006820 x 211505130 x 141003460 x 705017


More Examples

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