How do I find the factors or divisors of the number 513,000?

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 513,000, 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.

1 513,000

Next, we take the number 513,000 and divide it by 2.

In this case, 513,000 ÷ 2 = 256,500

If the quotient is a whole number, then 2 and 256,500 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 256,500 513,000

Now, we try dividing 513,000 by 3.

513,000 ÷ 3 = 171,000

If the quotient is a whole number, then 3 and 171,000 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 3 171,000 256,500 513,000

Let's try dividing by 4.

513,000 ÷ 4 = 128,250

If the quotient is a whole number, then 4 and 128,250 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 4 128,250 171,000 256,500 513,000

We keep dividing by the next largest number, in this case the number 5. If the quotient of 513,000 ÷ 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:

1234568910121518192024252730363840455054576072757690951001081141201251351501521711801902002162252282502702853003423603753804504564755005135405706006756847507608559009501,0001,0261,0801,1251,1401,3501,3681,4251,5001,7101,8001,9002,0522,2502,2802,3752,5652,7002,8503,0003,3753,4203,8004,1044,2754,5004,7505,1305,4005,7006,7506,8407,1258,5509,0009,50010,26011,40012,82513,50014,25017,10019,00020,52021,37525,65027,00028,50034,20042,75051,30057,00064,12585,500102,600128,250171,000256,500513,000

All of the numbers in the table above can be evenly divided into the number 513,000.

Finally, for your reference, here are all of the divisor combinations of the number 513,000:

1 x 5130002 x 2565003 x 1710004 x 1282505 x 1026006 x 855008 x 641259 x 5700010 x 5130012 x 4275015 x 3420018 x 2850019 x 2700020 x 2565024 x 2137525 x 2052027 x 1900030 x 1710036 x 1425038 x 1350040 x 1282545 x 1140050 x 1026054 x 950057 x 900060 x 855072 x 712575 x 684076 x 675090 x 570095 x 5400100 x 5130108 x 4750114 x 4500120 x 4275125 x 4104135 x 3800150 x 3420152 x 3375171 x 3000180 x 2850190 x 2700200 x 2565216 x 2375225 x 2280228 x 2250250 x 2052270 x 1900285 x 1800300 x 1710342 x 1500360 x 1425375 x 1368380 x 1350450 x 1140456 x 1125475 x 1080500 x 1026513 x 1000540 x 950570 x 900600 x 855675 x 760684 x 750


More Examples

Here are some more numbers to try:

512,998512,999513,001513,002
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