Q: What are the factors or divisors of the number 360,432?

 A: 123468912161824364872144250350067509100121501820024225273003640048450546007290108120144180216360432

How do I find the factors or divisors of the number 360,432?

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 360,432, 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.

1 360,432

Next, we take the number 360,432 and divide it by 2.

In this case, 360,432 ÷ 2 = 180,216

If the quotient is a whole number, then 2 and 180,216 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 180,216 360,432

Now, we try dividing 360,432 by 3.

360,432 ÷ 3 = 120,144

If the quotient is a whole number, then 3 and 120,144 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 3 120,144 180,216 360,432

Let's try dividing by 4.

360,432 ÷ 4 = 90,108

If the quotient is a whole number, then 4 and 90,108 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 90,108 120,144 180,216 360,432

We keep dividing by the next largest number, in this case the number 5. If the quotient of 360,432 ÷ 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:

1234689121618243648721442,5035,0067,50910,01215,01820,02422,52730,03640,04845,05460,07290,108120,144180,216360,432

All of the numbers in the table above can be evenly divided into the number 360,432.

Finally, for your reference, here are all of the divisor combinations of the number 360,432:

1 x 3604322 x 1802163 x 1201444 x 901086 x 600728 x 450549 x 4004812 x 3003616 x 2252718 x 2002424 x 1501836 x 1001248 x 750972 x 5006144 x 2503


More Examples

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