Q: What are the prime factors of the number 156,610,112?

 A: 2, 73, 33521

Why are those the prime factors of the number 156,610,112?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 156,610,112

156,610,112
Factor Arrows
278,305,056
Factor Arrows
239,152,528
Factor Arrows
219,576,264
Factor Arrows
29,788,132
Factor Arrows
24,894,066
Factor Arrows
22,447,033
Factor Arrows
7333,521

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 73, 33521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 73 x 33,521 = 156,610,112

This can also be written as 26 x 731 x 33,5211 = 156,610,112

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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