How do I find the factors or divisors of the number 471,480?

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 471,480, 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.

1 471,480

Next, we take the number 471,480 and divide it by 2.

In this case, 471,480 ÷ 2 = 235,740

If the quotient is a whole number, then 2 and 235,740 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 235,740 471,480

Now, we try dividing 471,480 by 3.

471,480 ÷ 3 = 157,160

If the quotient is a whole number, then 3 and 157,160 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 3 157,160 235,740 471,480

Let's try dividing by 4.

471,480 ÷ 4 = 117,870

If the quotient is a whole number, then 4 and 117,870 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 4 117,870 157,160 235,740 471,480

We keep dividing by the next largest number, in this case the number 5. If the quotient of 471,480 ÷ 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:

123456810121520243040601203,9297,85811,78715,71619,64523,57431,43239,29047,14858,93578,58094,296117,870157,160235,740471,480

All of the numbers in the table above can be evenly divided into the number 471,480.

Finally, for your reference, here are all of the divisor combinations of the number 471,480:

1 x 4714802 x 2357403 x 1571604 x 1178705 x 942966 x 785808 x 5893510 x 4714812 x 3929015 x 3143220 x 2357424 x 1964530 x 1571640 x 1178760 x 7858120 x 3929


More Examples

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