Q: What are the prime factors of the number 152,746,350?

 A: 2, 3, 5, 1018309

Why are those the prime factors of the number 152,746,350?

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 152,746,350

152,746,350
Factor Arrows
276,373,175
Factor Arrows
325,457,725
Factor Arrows
55,091,545
Factor Arrows
51,018,309

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, 3, 5, 1018309

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 1,018,309 = 152,746,350

This can also be written as 21 x 31 x 52 x 1,018,3091 = 152,746,350

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


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