Q: What are the factor combinations of the number 146,912,316?

 A:
Positive:   1 x 1469123162 x 734561583 x 489707724 x 367280796 x 2448538612 x 1224269323 x 638749246 x 319374669 x 212916492 x 1596873138 x 1064582276 x 532291487 x 301668974 x 1508341093 x 1344121461 x 1005561948 x 754172186 x 672062922 x 502783279 x 448044372 x 336035844 x 251396558 x 2240211201 x 13116
Negative: -1 x -146912316-2 x -73456158-3 x -48970772-4 x -36728079-6 x -24485386-12 x -12242693-23 x -6387492-46 x -3193746-69 x -2129164-92 x -1596873-138 x -1064582-276 x -532291-487 x -301668-974 x -150834-1093 x -134412-1461 x -100556-1948 x -75417-2186 x -67206-2922 x -50278-3279 x -44804-4372 x -33603-5844 x -25139-6558 x -22402-11201 x -13116


How do I find the factor combinations of the number 146,912,316?

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 divisors of larger numbers. To find the factor combinations of the number 146,912,316, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 146,912,316
-1 -146,912,316

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,912,316.

Example:
1 x 146,912,316 = 146,912,316
and
-1 x -146,912,316 = 146,912,316
Notice both answers equal 146,912,316

With that explanation out of the way, let's continue. Next, we take the number 146,912,316 and divide it by 2:

146,912,316 ÷ 2 = 73,456,158

If the quotient is a whole number, then 2 and 73,456,158 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 73,456,158 146,912,316
-1 -2 -73,456,158 -146,912,316

Now, we try dividing 146,912,316 by 3:

146,912,316 ÷ 3 = 48,970,772

If the quotient is a whole number, then 3 and 48,970,772 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 48,970,772 73,456,158 146,912,316
-1 -2 -3 -48,970,772 -73,456,158 -146,912,316

Let's try dividing by 4:

146,912,316 ÷ 4 = 36,728,079

If the quotient is a whole number, then 4 and 36,728,079 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 4 36,728,079 48,970,772 73,456,158 146,912,316
-1 -2 -3 -4 -36,728,079 -48,970,772 -73,456,158 146,912,316
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1234612234669921382764879741,0931,4611,9482,1862,9223,2794,3725,8446,55811,20113,11622,40225,13933,60344,80450,27867,20675,417100,556134,412150,834301,668532,2911,064,5821,596,8732,129,1643,193,7466,387,49212,242,69324,485,38636,728,07948,970,77273,456,158146,912,316
-1-2-3-4-6-12-23-46-69-92-138-276-487-974-1,093-1,461-1,948-2,186-2,922-3,279-4,372-5,844-6,558-11,201-13,116-22,402-25,139-33,603-44,804-50,278-67,206-75,417-100,556-134,412-150,834-301,668-532,291-1,064,582-1,596,873-2,129,164-3,193,746-6,387,492-12,242,693-24,485,386-36,728,079-48,970,772-73,456,158-146,912,316

More Examples

Here are some more numbers to try:

146,912,314146,912,315146,912,317146,912,318
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